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相关论文: Entanglement Hamiltonian in the non-Hermitian SSH …

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Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases -- in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas of…

介观与纳米尺度物理 · 物理学 2021-08-04 Anantha Hegde , Adarsh Kumar , Adhip Agarwala , Bhaskaran Muralidharan

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

量子物理 · 物理学 2021-11-02 Shachar Fraenkel , Moshe Goldstein

We study the parity- and time-reversal PT symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model with two conjugated imaginary potentials $\pm i\gamma $ at two end sites. The SSH model is known as one of the simplest two-band topological…

其他凝聚态物理 · 物理学 2014-06-11 Baogang Zhu , Rong Lu , Shu Chen

Consider a generic quantum spin chain that can be mapped to free quadratic fermions via Jordan-Wigner (JW) transformation. In the presence of arbitrary boundary magnetic fields, this Hamiltonian is no longer a quadratic Hamiltonian after JW…

强关联电子 · 物理学 2022-06-15 Arash Jafarizadeh , M. A. Rajabpour

We propose an application of a parity-time symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model by embedded it in a two-dimensional square lattice tube. The coalescence state at the exceptional point of non-Hermitian SSH model is chiral…

介观与纳米尺度物理 · 物理学 2019-10-04 K. L. Zhang , L. Jin , Z. Song

The hybrid atoms-cell site entanglement in a one-dimensional Su-Schrieffer-Heeger (SSH) topological insulator with first and second neighbor hopping interaction in space representation of finite chains is analyzed. The geometric phase is…

量子物理 · 物理学 2023-01-02 Leonardo A. Navarro-Labastida , Francisco A. Domínguez-Serna , F. Rojas

We explore deformations of finite chains of independent fermions which give rise to large correlations between their extremes. After a detailed study of the Su-Schrieffer-Heeger (SSH) model, the trade-off curve between end-to-end…

强关联电子 · 物理学 2018-12-19 Hernán Santos , José E. Alvarellos , Javier Rodríguez-Laguna

We study the unitary time evolution of the entanglement Hamiltonian of a free Fermi lattice gas in one dimension initially prepared in a domain wall configuration. To this aim, we exploit the recent development of quantum fluctuating…

统计力学 · 物理学 2022-06-20 Federico Rottoli , Stefano Scopa , Pasquale Calabrese

We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians - those that are related to quadratic forms of Fermi operators - between the first N spins and the rest of the system in the…

量子物理 · 物理学 2009-11-10 J. P. Keating , F. Mezzadri

We investigate further the relationship between the entanglement spectrum of a composite many-body system and the energy spectrum of a subsystem making use of concepts of canonical thermodynamics. In many important cases the entanglement…

统计力学 · 物理学 2014-10-07 John Schliemann

We study an inhomogeneous critical Ising chain in a transverse field whose couplings decay exponentially from the center. In the strong inhomogeneity limit we apply Fisher's renormalization group to show that the ground state is formed by…

Critical systems host nontrivial entanglement structure that is generally sensitive to additional couplings. In the present work, we study the effect of weak measurements on the entanglement Hamiltonian of massless free fermions which are…

统计力学 · 物理学 2024-11-22 Qicheng Tang , Xueda Wen

In this paper, we review how to obtain the central charge of a critical entanglement Hamiltonian through the nested entanglement entropy which was first introduced in [J. Lou et al. PRB 84, 245128 (2011)]. The critical phenomena of the…

统计力学 · 物理学 2013-08-29 Shu Tanaka

We study quantum chains whose Hamiltonians are perturbations by interactions of short range of a Hamiltonian that does not couple the degrees of freedom located at different sites of the chain and has a strictly positive energy gap above…

数学物理 · 物理学 2020-12-30 S. Del Vecchio , J. Fröhlich , A. Pizzo , S. Rossi

We investigate topological and disorder effects in non-Hermitian systems with chiral symmetry. The system under consideration consists in a finite Su-Schrieffer-Heeger chain to which two semi-infinite leads are attached. The system lacks…

介观与纳米尺度物理 · 物理学 2020-12-30 B. Ostahie , A. Aldea

We investigate a lattice version of the Yang-Lee model which is characterized by a non-Hermitian quantum spin chain Hamiltonian. We propose a new way to implement PT-symmetry on the lattice, which serves to guarantee the reality of the…

高能物理 - 理论 · 物理学 2009-11-05 Olalla A. Castro-Alvaredo , Andreas Fring

We carry out a comprehensive comparison between the exact modular Hamiltonian and the lattice version of the Bisognano-Wichmann (BW) one in one-dimensional critical quantum spin chains. As a warm-up, we first illustrate how the trace…

强关联电子 · 物理学 2020-06-02 Jiaju Zhang , Pasquale Calabrese , Marcello Dalmonte , M. A. Rajabpour

The Su-Schrieffer-Heeger (SSH) model describes a finite one-dimensional dimer lattice with first-neighbour hoppings populated by non-interacting electrons. In this work we study a generalization of the SSH model including longer-range…

介观与纳米尺度物理 · 物理学 2018-10-05 Beatriz Pérez-González , Miguel Bello , Álvaro Gómez-León , Gloria Platero

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 address the conditions required for a $\mathbb{Z}$ topological classification in the most general form of the non-Hermitian Su-Schrieffer-Heeger (SSH) model. Any chirally-symmetric SSH model will possess a "conjugated-pseudo-Hermiticity"…

介观与纳米尺度物理 · 物理学 2018-01-17 Simon Lieu