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Taking into account the nonequivalence of fixed-force and fixed-length ensembles in the weak-force regime, equations of state are derived that describe the equilibrium extension or compression of an ideal Gaussian polymer chain in response…

软凝聚态物质 · 物理学 2007-05-23 Richard M. Neumann

We develop a real space renormalization group (RSRG) scheme by appropriately inserting the long range hopping $t\sim r^{-\alpha}$ with nearest neighbour interaction to study the entanglement entropy and maximum block size for many-body…

无序系统与神经网络 · 物理学 2020-05-21 Ranjan Modak , Tanay Nag

We calculate the ground state entanglement entropy between two heterogeneous parts of a free fermion chain. The two parts could be XX chains with different parameters or an XX half chain connected with a quantum Ising half chain. It is…

统计力学 · 物理学 2018-07-27 Yuchi He

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

高能物理 - 理论 · 物理学 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers

In this paper we calculate the block entanglement entropies of spin models whose ground states have perfect antiferromagnetic or ferromagnetic long-range order. In the latter case the definition of entanglement entropy is extended to…

其他凝聚态物理 · 物理学 2008-05-16 Wenxin Ding , Nicholas E. Bonesteel , Kun Yang

We study by the strong disorder renormalization group (RG) method the low-energy properties of the one-dimensional Hubbard model with random-hopping matrix-elements $t_{min}<t<t_{max}$, and with random on-site Coulomb repulsion terms $0 \le…

无序系统与神经网络 · 物理学 2007-05-23 R. Mélin , F. Iglói

Recent studies have shown that logarithmic divergence of entanglement entropy as function of size of a subsystem is a signature of criticality in quantum models. We demonstrate that the ground state entanglement entropy of $ n$ sites for…

量子物理 · 物理学 2011-07-13 Vladislav Popkov , Mario Salerno

We present a study of the scaling behavior of the R\'{e}nyi entanglement entropy (REE) in SU($N$) spin chain Hamiltonians, in which all the spins transform under the fundamental representation. These SU($N$) spin chains are known to be…

强关联电子 · 物理学 2015-08-12 Jonathan D'Emidio , Matthew S. Block , Ribhu K. Kaul

We numerically study the one-dimensional long-range Transverse Field Ising Model (TFIM) in the antiferromagnetic (AFM) regime at zero temperature using Generalized Hartree-Fock (GHF) theory. The spin-spin interaction extends to all spins in…

量子物理 · 物理学 2023-05-10 Michael P. Kaicher , Davide Vodola , Simon B. Jäger

We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We…

量子物理 · 物理学 2026-04-28 Harikrishnan K J , Debasis Sadhukhan , Amit Kumar Pal

Sliced-basis DMRG(sb-DMRG) is used to simulate a chain of hydrogen atoms and to construct low-energy effective Hubbard-like models. The downfolding procedure first involves a change of basis to a set of atom-centered Wannier functions…

强关联电子 · 物理学 2021-09-14 Randy C. Sawaya , Steven R. White

We study entanglement Hamiltonian (EH) associated with the reduced density matrix of free fermion models in delocalized-localized Anderson phase transition. We show numerically that the structure of the EH matrix differentiates the…

强关联电子 · 物理学 2019-11-12 Mohammad Pouranvari , Jahanfar Abouie

We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

量子气体 · 物理学 2016-10-12 William J. Porter , Joaquín E. Drut

Recently, tight-binding models on hyperbolic lattices (discretized AdS space) have gained significant attention, leading to hyperbolic band theory and non-Abelian Bloch states. In this paper, we investigate these quantum systems from the…

介观与纳米尺度物理 · 物理学 2025-05-01 Xiang-You Huang , Yao Zhou , Peng Ye

To produce a fermionic model exhibiting an entanglement entropy volume law, we propose a particular version of nonlocality in which the energy-momentum dispersion relation is effectively randomized at the shortest length scales while…

量子物理 · 物理学 2019-07-31 G. C. Levine

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

量子物理 · 物理学 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

Spontaneous symmetry breaking (SSB) with type-B Goldstone modes is investigated in the macroscopically degenerate phase for a quantum spin-1 many-body system with competing dimer and trimer interactions. The SSB involves three distinct…

强关联电子 · 物理学 2024-03-12 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

Entanglement spectra (ES) for the critical SU(N) (2 <= N <= 4) spin chains and other integrable models of finite length are studied with the density matrix renormalization group method. For all models under investigation, the level spacings…

强关联电子 · 物理学 2016-11-09 Panjin Kim , Hosho Katsura , Nandini Trivedi , Jung Hoon Han

The critical behavior of the random transverse-field Ising model in finite dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder…

无序系统与神经网络 · 物理学 2018-03-28 Ferenc Iglói , István A. Kovács

We propose a method of computing and studying entanglement quantities in non-Hermitian systems by use of a biorthogonal basis. We find that the entanglement spectrum characterizes the topological properties in terms of the existence of…

强关联电子 · 物理学 2020-07-16 Po-Yao Chang , Jhih-Shih You , Xueda Wen , Shinsei Ryu