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Grassmann corner transfer-matrix renormalization group approach to one-dimensional fermionic models 认领 引用
1
作者 Jian-Gang Kong Zhi-Yuan Xie 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第6期478-489,共12页
The strongly correlated fermions play a vital role in modern physics.For a given fermionic Hamiltonian system,the most widely used approach to exploring the underlying physics is to study the wave function that incorp... The strongly correlated fermions play a vital role in modern physics.For a given fermionic Hamiltonian system,the most widely used approach to exploring the underlying physics is to study the wave function that incorporates Fermi–Dirac statistics,which can be obtained variationally by energy minimization or by imaginary-time evolution.In this work,we develop an accurate tensor network method for one-dimensional interacting fermionic models based on the coherentstate path-integral representation of the fermionic partition function.Employing the coherent-state representation,the partition function is effectively represented as a(1+1)-dimensional anisotropic Grassmann-valued tensor network,and the Grassmann version of the corner transfer-matrix renormalization group algorithm is developed to contract the tensor network and evaluate physical quantities.We validate our method on the one-dimensional fermionic Hubbard model with a magnetic field,where the essential features of the phase diagram in the(µ,B)plane are quantitatively captured.Our work offers a promising approach to interacting fermionic models within the framework of tensor networks. 展开更多
关键词 Grassmann tensor network fermionic path integral partition function
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Polynomial Mitigation of the Fermionic Sign Problem via Topological Neural Flows and Generalized Complex Manifold Deformations 认领 引用
2
作者 Kaiyang Liu 《Journal of Electronic Research and Application》 2026年第7期108-115,共8页
Since the discovery of the sign problem in the 1980s, all unbiased numerical methods have failed to avoid the exponential growth of computational complexity when simulating strongly correlated fermions at finite densi... Since the discovery of the sign problem in the 1980s, all unbiased numerical methods have failed to avoid the exponential growth of computational complexity when simulating strongly correlated fermions at finite densities. This paper proves that by analytically continuing the path integral to a continuous complex manifold and transforming it into an unsupervised geometric optimization problem, this exponential wall can be systematically mitigated. We introduce the Topological Neural Flow (TNF) framework, utilizing Equivariant Continuous Normalizing Flows constrained by Cauchy’s integral theorem to dynamically learn a deformation contour that minimizes the imaginary phase variance of the effective action. Focusing on the highly challenging 2D hole-doped repulsive Hubbard model, we demonstrate exponential sign mitigation on lattices up to 10 × 10, reducing the required number of Monte-Carlo samples by up to 8 orders of magnitude. We explicitly map the critical breakdown point of the method at the 12 × 12 scale, establishing a rigorous mathematical and physical foundation for AI-assisted path integral contour deformations. 展开更多
关键词 Fermionic sign problem Topological neural flow Complex manifold deformation 2D hubbard model
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Efficient Preparation of Fermionic Superfluids in an Optical Dipole Trap through Reinforcement Learning 认领 引用
3
作者 Yueyang Min Ziliang Li +4 位作者 Yi Zhong Jia-An Xuan Jian Lin Lei Feng Xiaopeng Li 《Chinese Physics Letters》 SCIE EI CAS CSCD 2025年第10期53-61,共9页
We demonstrate a reinforcement learning(RL)-based control framework for optimizing evaporative cooling in the preparation of strongly interacting degenerate Fermi gases of 6Li.Using a Soft Actor-Critic(SAC)algorithm,t... We demonstrate a reinforcement learning(RL)-based control framework for optimizing evaporative cooling in the preparation of strongly interacting degenerate Fermi gases of 6Li.Using a Soft Actor-Critic(SAC)algorithm,the system autonomously explores a high-dimensional parameter space to learn optimal cooling trajectories.Compared to conventional exponential ramps,our method achieves up to 130%improvement in atomic density within 0.5 second,revealing non-trivial control strategies that balance fast evaporation and thermalization.While our current optimization focuses on the evaporation stage,future integration of other cooling stages,such as gray molasses cooling,could further extend RL to the full preparation pipeline.Our result highlights the promise of RL as a general tool for closed-loop quantum control and automated calibration in complex atomic physics experiments. 展开更多
关键词 soft actor critic evaporative cooling optimizing evaporative cooling atomic density fermionic superfluids reinforcement learning exponential rampsour strongly interacting degenerate fermi gases
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Probing the Topology of Fermionic Gaussian Mixed States with U(1)symmetry by Full Counting Statistics 认领 引用
4
作者 Liang Mao Hui Zhai Fan Yang 《Chinese Physics Letters》 SCIE EI CAS CSCD 2025年第6期208-215,共8页
Topological band theory has been studied for free fermions for decades,and one of the most profound physical results is the bulk-boundary correspondence.Recently a focus in topological physics is extending topological... Topological band theory has been studied for free fermions for decades,and one of the most profound physical results is the bulk-boundary correspondence.Recently a focus in topological physics is extending topological classification to mixed states.Here,we focus on Gaussian mixed states for which the modular Hamiltonians of the density matrix are quadratic free fermion models with U(1)symmetry and can be classified by topological invariants.The bulk-boundary correspondence is then manifested as stable gapless modes of the modular Hamiltonian and degenerate spectrum of the density matrix.In this article,we show that these gapless modes can be detected by the full counting statistics,mathematically described by a function introduced as F(θ).A divergent derivative atθ=πcan be used to probe the gapless modes in the modular Hamiltonian.Based on this,a topological indicator,whose quantization to unity senses topologically nontrivial mixed states,is introduced.We present the physical intuition of these results and also demonstrate these results with concrete models in both one-and two-dimensions.Our results pave the way for revealing the physical significance of topology in mixed states. 展开更多
关键词 free fermions quadratic free fermion models modular hamiltonians density matrix gaussian mixed states topological band theory extending topological classification stable gapless fermionic gaussian mixed states
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Kraus operator solutions to a fermionic master equation describing a thermal bath and their matrix representation 认领 引用 被引量：3
5
作者 孟祥国 王继锁 +1 位作者 范洪义 夏承魏 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第4期42-46,共5页
We solve the fermionic master equation for a thermal bath to obtain its explicit Kraus operator solutions via the fermionic state approach. The normalization condition of the Kraus operators is proved. The matrix repr... We solve the fermionic master equation for a thermal bath to obtain its explicit Kraus operator solutions via the fermionic state approach. The normalization condition of the Kraus operators is proved. The matrix representation for these solutions is obtained, which is incongruous with the result in the book completed by Nielsen and Chuang [Quan- tum Computation and Quantum Information, Cambridge University Press, 2000]. As especial cases, we also present the Kraus operator solutions to master equations for describing the amplitude-decay model and the diffusion process at finite temperature. 展开更多
关键词 Kraus operator solution matrix representation thermal bath fermionic entangled state represen-tation
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Chiral p-wave pairing of ultracold fermionic atoms due to a quadratic band touching 认领 引用
6
作者 王海啸 刘子衡 蒋建华 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第2期215-219,共5页
We study the superfuild ground state of ultracold fermions in optical lattices with a quadratic band touching. Examples are a checkerboard lattice around half filling and a kagome lattice above one third filling. Inst... We study the superfuild ground state of ultracold fermions in optical lattices with a quadratic band touching. Examples are a checkerboard lattice around half filling and a kagome lattice above one third filling. Instead of pairing between spin states, here we focus on pairing interactions between different orbital states. We find that our systems have only odd-parity （orbital） pairing instability while the singlet （orbital） pairing instability vanishes thanks to the quadratic band touching. In the mean field level, the ground state is found to be a chiral p-wave pairing superfluid （mixed with finite f-wave pairing order-parameters） which supports Majorana fermions. 展开更多
关键词 degenerate cold fermionic atoms topological states Majorana fermions
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Fermionic Covariant Prolongation Structure for a Super Nonlinear Evolution Equation in 2+1 Dimensions 认领 引用
7
作者 颜昭雯 王晓丽 李民丽 《Chinese Physics Letters》 SCIE EI CAS CSCD 2017年第7期10-14,共5页
The integrability of a （2＋1）-dimensional super nonlinear evolution equation is analyzed in the framework of the fermionie covariant prolongation structure theory. We construct the prolongation structure of the mult... The integrability of a （2＋1）-dimensional super nonlinear evolution equation is analyzed in the framework of the fermionie covariant prolongation structure theory. We construct the prolongation structure of the multidimen- sional super integrable equation and investigate its Lax representation. Furthermore, the Backlund transformation is presented and we derive a solution to the super integrable equation. 展开更多
关键词 Fermionic Covariant Prolongation Structure for a Super Nonlinear Evolution Equation in 2+1 Dimensions NEE
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Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere 认领 引用
8
作者 LIU Yu-Xiao ZHANG Li-Jie DUAN Yi-Shi 《Communications in Theoretical Physics》 SCIE CAS 2008年第6期1577-1579,共3页
In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two-dimensional compact manifold S2 as extra dimensions. The result is that there exist massless Dirac fermions which have normali... In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two-dimensional compact manifold S2 as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes under quite general assumptions about these backgrounds on the bulk. Several special cases of gauge background on the sphere axe discussed and some simple fermionic zero modes are obtained. 展开更多
关键词 extra dimensions fermionic zero modes
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Bosonic and Fermionic Entropy of (2+1)-Dimensional Charged Black Hole 认领 引用
9
作者 WANG Yong-Jiu JING Ji-Liang CHEN Ju-Hua 《Communications in Theoretical Physics》 SCIE CAS 2001年第12期661-664,共4页
From resolving Klein-Gordon equation and Dirac equation in (2+1)-dimensional charged black hole spacetime and using 't Hooft's boundary condition and "quasi-periodic" boundary condition in the thin f... From resolving Klein-Gordon equation and Dirac equation in (2+1)-dimensional charged black hole spacetime and using 't Hooft's boundary condition and "quasi-periodic" boundary condition in the thin film brick wall model of black hole, which is introduced by LIU Weng-Biao and ZHAO Zheng, we obtain the bosonic and fermionic entropy of (2+1)-dimensional charged black hole, and find that the bosonic entropy is three times of fermionic entropy. 展开更多
关键词 bosonic entropy, fermionic entropy, free energy
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Approximate Private Quantum Channels on Fermionic Gaussian Systems 认领 引用 被引量：1
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作者 Kabgyun Jeong 《Journal of Quantum Information Science》 CAS 2021年第1期1-12,共12页
The private quantum channel (PQC) maps any quantum state to the maximally mixed state for the discrete as well as the bosonic Gaussian quantum systems, and it has fundamental meaning on the quantum cryptographic tasks... The private quantum channel (PQC) maps any quantum state to the maximally mixed state for the discrete as well as the bosonic Gaussian quantum systems, and it has fundamental meaning on the quantum cryptographic tasks and the quantum channel capacity problems. In this paper, we primally introduce a notion of approximate private quantum channel (ε-PQC) on fermionic Gaussian systems (i.e., ε-FPQC), and construct its explicit form of the fermionic (Gaussian) private quantum channel. First of all, we suggest a general structure for ε-FPQC on the fermionic Gaussian systems with respect to the Schatten p-norm class, and then we give an explicit proof of the statement in the trace norm case. In addition, we study that the cardinality of a set of fermionic unitary operators agrees on the ε-FPQC condition in the trace norm case. This result may give birth to intuition on the construction of emerging fermionic Gaussian quantum communication or computing systems. 展开更多
关键词 Fermionic Private Quantum Channel Approximate FPQC Isotropic Measure ε-Net Analysis McDiarmid’s Inequality
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Phase diagram of interacting fermionic two-leg ladder with pair hopping 认领 引用
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作者 Wan-Li Liu Tian-Zhong Yuan +1 位作者 Zhi Lin Wei Yan 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第2期123-128,共6页
We study the phase diagram of the interacting fermionic two-leg ladder, which is featured by pair hopping and interactions of singlet and triplet superconducting channels. By using Abelian bosonization method, we obta... We study the phase diagram of the interacting fermionic two-leg ladder, which is featured by pair hopping and interactions of singlet and triplet superconducting channels. By using Abelian bosonization method, we obtain the full phase diagram of our model. The superconducting triplet pairing phase is characterized by a fractional edge spin and interpreted as two Kitaev chains under the mean filed approximation. The pair hopping will give rise to spin-density-wave(SDW)orders and can also support Majorana edge modes in spin channel. At half filling, the resulting Majorana-SDW phase shows additional fractionalization in charge channel, and can be interpreted as two Su–Schrieffer–Heeger(SSH) chains in the mean field regime. 展开更多
关键词 two-leg ladder pair hopping bosonization Majorana fermion
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A special fermionic generalization of lineal gravity 认领 引用
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作者 DUPLIJ S. A. SOROKA D. V. SOROKA V. A. 《Journal of Zhejiang University-SCIENCE A》 EI CAS 2006年第4期629-632,共4页
The central extension of the (1+1)-dimensional Poincaré algebra by including fermionic charges which obey not supersymmetric algebra, but a special graded algebra containing in the right hand side a central eleme... The central extension of the (1+1)-dimensional Poincaré algebra by including fermionic charges which obey not supersymmetric algebra, but a special graded algebra containing in the right hand side a central element only is obtained. The corresponding theory being the fermionic extension of the lineal gravity is proposed. We considered the algebra of generators, the field transformations and found Lagrangian and equation of motion, then we derived the Casimir operator and obtained the con- stant black hole mass. 展开更多
关键词 Black hole Central extension Lineal gravity Fermionic generator Casimir operator
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Canonical Differential Calculi for Finitely Generated Abelian Groups and Their Fermionic Representations 认领 引用
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作者 DAIJian SONGXing－Chang 等 《Communications in Theoretical Physics》 SCIE CAS 2002年第4期393-396,共4页
Canonical differential calculi are defined for finitely generated Abelian groups with involutions existing consistently. Two such the canonical calculi are presented. Fermionic representations for canonical calculi ar... Canonical differential calculi are defined for finitely generated Abelian groups with involutions existing consistently. Two such the canonical calculi are presented. Fermionic representations for canonical calculi are defined based on quantized calculi. Fermionic representations for aforementioned two canonical calculi are searched out. 展开更多
关键词 finitely generated Abelian group canonical differential calculus involution quantized calculus fermionic representation
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On Fermionic Entangled State Representation and Fermionic Entangled Wigner Operator 认领 引用 被引量：1
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作者 FAN Hong-Yi WANG Ji-Suo 《Communications in Theoretical Physics》 SCIE CAS 2007年第2X期245-248,共4页
By analogy with the bosonic bipartite entangled state we construct fermionic entangled state with the Grassmann numbers. The Wigner operator in the fermionic entangled state representation is introduced, whose margina... By analogy with the bosonic bipartite entangled state we construct fermionic entangled state with the Grassmann numbers. The Wigner operator in the fermionic entangled state representation is introduced, whose marginal distributions are understood in an entangled way. The technique of integration within an ordered product （IWOP） of Fermi operators is used in our discussion. 展开更多
关键词 fermionic entangled state fermionic Wigner sperator
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Extra Dimensions Corrections for Fermionic Casimir Effect in Three Dimensional Box 认领 引用
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作者 Heru Sukamto Agus Purwanto 《Journal of Modern Physics》 2013年第5期597-603,共7页
We want to show extra-dimensions corrections for Fermionic Casimir Effect. Firstly, we determined quantization fermion field in Three dimensional Box. Then we calculated the Casimir energy for massless fermionic field... We want to show extra-dimensions corrections for Fermionic Casimir Effect. Firstly, we determined quantization fermion field in Three dimensional Box. Then we calculated the Casimir energy for massless fermionic field confined inside a three-dimensional rectangular box with one compact extra-dimension. We use the MIT bag model boundary condition for the confinement and M4 × S1 as the background spacetime. We use the direct mode summation method along with the Abel-Plana formula to compute the Casimir energy. We show analytically the extra-dimension corrections to the Fermionic Casimir effect to forward a new method of exploring the existence of the extra dimensions of the universe. 展开更多
关键词 Casimir Fermionic Extra Dimensions
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Frontier Orbitals, Combustion and Redox Transfer from a Fermionic-Bosonic Orbital Perspective 认领 引用
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作者 Robert C. Allen 《Journal of Modern Physics》 2021年第8期1162-1171,共10页
Oxygenations are highly exergonic, yet combustion of organic matter is not spontaneous in an atmosphere that is 21% O2. Electrons are fermions with a quantum spin number s of 1/2&#295;. An orbital containing a sin... Oxygenations are highly exergonic, yet combustion of organic matter is not spontaneous in an atmosphere that is 21% O2. Electrons are fermions with a quantum spin number s of 1/2&#295;. An orbital containing a single electron with s = 1/2 is fermionic. Orbitals can contain a maximum of two electrons with antiparallel spins, i.e., spin magnetic quantum numbers ms of 1/2 and -1/2. An orbital filled by an electron couple has s = 0 and bosonic character. The multiplicity of a reactant is defined as |2(S)| + 1 where S is the total spin quantum number. The Wigner spin conservation rules state that multiplicity is conserved. The transmission coefficient κ of absolute reaction rate theory also indicates the necessity for spin conservation. Burning is fermionic combustion that occurs when sufficient energy is applied to a bosonic molecule to cause homolytic bond cleavage yielding fermionic products capable of reaction with the bifermionic frontier orbitals of triplet multiplicity O2. Neutrophil leucocytes kill microorganisms by bosonic combustion and employ two mechanisms for changing the multiplicity of O2 from triplet to singlet. Microorganisms, composed of bosonic singlet multiplicity molecules, do not directly react with bifermionic O2, but are highly susceptible to electrophilic attack by bosonic electronically excited singlet molecular oxygen (1O2*). Hydride ion (H-) transfer is the common mode of cytoplasmic redox metabolism. Bosonic transfer of an orbital electron couple protects from damage by obviating fermionic reaction with bifermionic O2. Bosonic coupled electron transfer raises the consideration that quantum tunneling might be involved in facilitating such redox transfer. 展开更多
关键词 Fermion Boson Orbital Spin Combustion Redox Transfer Tunneling
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Entanglement Evolution of a 2-Qutrit System Interacting with a Fermionic Bath 认领 引用
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作者 MA Xiao-San WANG An-Min +1 位作者 YANG Xiao-Dong XU Feng 《Communications in Theoretical Physics》 SCIE CAS 2005年第2X期274-278,共5页
Based on the algebraic entanglement measure proposed [G. Vidal et al., Phys. Rev. A 65 (2002) 032314],we study the entanglement evolution of both pure quantum states and mixed ones of 2-qutrit system in a symmetrybrok... Based on the algebraic entanglement measure proposed [G. Vidal et al., Phys. Rev. A 65 (2002) 032314],we study the entanglement evolution of both pure quantum states and mixed ones of 2-qutrit system in a symmetrybroken environment consisting of a fermionic bath. Entanglement of states will decrease or remain constant under the influence of environment, and the class of states which remain unchanged has been found out. 展开更多
关键词 entanglement evolution 2-qutrit state fermionic bath
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Fermionic Zero Modes in Self-dual Vortex Background on a Torus 认领 引用
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作者 LIU Yu-Xiao WANG Yong-Qiang DUAN Yi-Shi 《Communications in Theoretical Physics》 SCIE CAS 2007年第4X期675-679,共5页
We study fermionic zero modes in the self-dual vortex background on an extra two-dimensional Riemann surface in （5＋1） dimensions. Using the generalized Abelian-Higgs model, we obtain the inner topological structure... We study fermionic zero modes in the self-dual vortex background on an extra two-dimensional Riemann surface in （5＋1） dimensions. Using the generalized Abelian-Higgs model, we obtain the inner topological structure of the self-dual vortex and establish the exact self-duality equation with topological term. Then we analyze the Dirac operator on an extra torus and the effective Lagrangian of four-dimensional fermions with the self-dual vortex background. Solving the Dirac equation, the fermionic zero modes on a torus with the self-dual vortex background in two simple cases are obtained. 展开更多
关键词 fermionic zero modes large extra dimensions self-dual vortex
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Robust Floquet-Induced Gap in Irradiated Graphite 认领 引用 被引量：1
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作者 Fei Wang Xuanxi Cai +6 位作者 Wanying Chen Jinxi Lu Tianshuang Sheng Xiao Tang Jiansong Li Hongyun Zhang Shuyun Zhou 《Chinese Physics Letters》 SCIE EI CAS CSCD 2026年第5期154-160,共7页
Floquet engineering provides an emerging pathway for tailoring the electronic states of quantum materials through time-periodic drive.A critical step along this direction is achieving light-induced modifications of th... Floquet engineering provides an emerging pathway for tailoring the electronic states of quantum materials through time-periodic drive.A critical step along this direction is achieving light-induced modifications of the dynamical electronic structure,such as avoided-crossing gap at the Floquet Brillouin zone boundary,via efficient coupling of electrons with the coherent light-field.Here,we report robust Floquet-induced gap in bulk graphite that persists despite the presence of interlayer coupling and photo-excitation.Using time-and angle-resolved photoemission spectroscopy with intense mid-infrared pumping,we directly reveal Floquet-induced gaps at resonance points both in the valence and conduction bands,accompanied by coherent Floquet sidebands.The gap and sidebands coexist with photo-excited carriers,yet their distinct timescales allow us to disentangle their origins.Our demonstration of robust Floquet-induced gaps establishes graphite as a platform for coherent manipulation of Dirac fermions and realization of light-engineered quantum phases. 展开更多
关键词 tailoring electronic states floquet engineering Photoexcitation Time periodic drive Graphite Dirac fermions Floquet induced gaps interlayer coupling
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Synthesis,structure and physical properties of ternary Ce-based compound Ce3VAs5 认领 引用
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作者 B S Min L C Fu +11 位作者 X M Chen L C Shi H Y Zheng J Zhang J Song Z Deng J F Zhao L Duan C J Xiao J L Zhu X C Wang C Q Jin 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第5期565-571,共7页
A new Ce-based compound Ce3VAs5has been synthesized at high-pressure and high-temperature conditions.The physical properties were investigated through the crystal structure,magnetism,electrical transport,and spe... A new Ce-based compound Ce3VAs5has been synthesized at high-pressure and high-temperature conditions.The physical properties were investigated through the crystal structure,magnetism,electrical transport,and specific heat measurements.The compound crystallizes in a hexagonal Hf5Sn3Cu-anti-type structure with the space group of P63/mcm,which consists of face-sharing octahedral VAs6chains and zig-zag like Ce-chains along the c axis.It undergoes a ferromagnetic-like ordering at TN=14 K due to the Ce-lattice,and exhibits heavy fermion behavior with a Sommerfeld coefficient ofγ~128 mJ/(Ce-mol·K2).The Kondo temperature TK is determined to be~19 K.The deviation of paramagnetic susceptibility from Curie-Weiss law is related to the crystal electric field(CEF)effects,and the abnormal drop in the resistivity is attributed to the synergistic interaction between CEF effect and Kondo scattering.Due to its quasi one-dimensional structure,Ce3VAs5provides a good opportunity to study the anisotropy relative to Kondo effect in the future. 展开更多
关键词 heavy fermion Kondo effect Ce-based compound antiferromagnetism
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