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We study the quantum entanglement and quantum phase transition of the non-Hermitian anisotropic spin-$\frac{1}{2}$ XY model and XXZ model with the staggered imaginary field by analytical methods and numerical exact diagonalization,…

强关联电子 · 物理学 2025-10-21 Ling-Feng Zhang , Wing Chi Yu

In this work we study non-Hermitian extensions of the paradigmatic spin-1/2 XY chain in a magnetic field. Using the mapping of the model to free fermion form, we provide analytical insights into the energy spectrum of the non-Hermitian…

量子物理 · 物理学 2025-07-15 D. C. Liu , Murray T. Batchelor

Non-Hermiticity gives rise to unique topological phases that have no counterparts in Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one dimension while no topological phases appear in one-dimensional…

强关联电子 · 物理学 2022-04-20 Kohei Kawabata , Ken Shiozaki , Shinsei Ryu

Non-Hermiticity appears ubiquitously in various open classical and quantum systems and enriches classification of topological phases. However, the role of nonsymmorphic symmetry, crystalline symmetry accompanying fractional lattice…

介观与纳米尺度物理 · 物理学 2025-04-30 Daichi Nakamura , Yutaro Tanaka , Ken Shiozaki , Kohei Kawabata

We study many-body phase transitions in a one-dimensional ferromagnetic transversed field Ising model with an imaginary field and show that the system exhibits three phase transitions: one second-order phase transition and two…

强关联电子 · 物理学 2024-08-12 Chao-Ze Lu , Xiaolong Deng , Su-Peng Kou , Gaoyong Sun

In this work, we investigate the quantum phase transition in a non-Hermitian XY spin chain. The phase diagram shows that the critical points of Ising phase transition expand into a critical transition zone after introducing a non-Hermitian…

介观与纳米尺度物理 · 物理学 2021-07-07 Yu-Guo Liu , Lu Xu , Zhi Li

We systematically study the non-Hermitian version of the one-dimensional anisotropic XY model, which in its original form, is a unique exactly solvable quantum spin model for understanding the quantum phase transition. The distinguishing…

量子物理 · 物理学 2013-10-15 X. Z. Zhang , Z. Song

We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in the non-Hermitian transverse field Ising…

强关联电子 · 物理学 2023-02-28 Gaoyong Sun , Jia-Chen Tang , Su-Peng Kou

Phase transitions are fundamental in nature. A small parameter change near a critical point leads to a qualitative change in system properties. Across a regular phase transition, the system remains in thermal equilibrium and, therefore,…

Quantum phase transitions also occur in non-Hermitian systems. In this work we show that density functional theory, for the first time, uncovers universal behaviors for phase transitions in non-Hermitian many-body systems. To be specific,…

量子物理 · 物理学 2017-08-10 Bo-Bo Wei , Liang Jin

A quantum system governed by a non-Hermitian Hamiltonian may exhibit zero temperature phase transitions that are driven by interactions, just as its Hermitian counterpart, raising the fundamental question how non-Hermiticity affects quantum…

量子物理 · 物理学 2024-12-10 Eduard Naichuk , Jeroen van den Brink , Flavio S. Nogueira

In this paper, we describe some interesting properties of a non-Hermitian Jaynes-Cummings model. For this particular model, it is known that the Hilbert space can be described by infinitely-many two-dimensional invariant (closed) subspaces,…

量子物理 · 物理学 2026-04-23 Gargi Das , Aritra Ghosh , Bhabani Prasad Mandal

Critical phase transitions contain a variety of deep and universal physics, and are intimately tied to thermodynamic quantities through scaling relations. Yet, these notions are challenged in the context of non-Hermiticity, where spatial or…

统计力学 · 物理学 2021-01-06 R. Arouca , C. H. Lee , C. Morais Smith

Quantum phase transitions are usually studied in terms of Hermitian Hamiltonians. However, cold-atom experiments are intrinsically non-Hermitian due to spontaneous decay. Here, we show that non-Hermitian systems exhibit quantum phase…

量子气体 · 物理学 2014-10-08 Tony E. Lee , Ching-Kit Chan

We study the geometric phase for the ground state of a generalized one-dimensional non-Hermitian quantum XY model, which has transverse-field-dependent intrinsic rotation-time reversal symmetry. Based on the exact solution, this model is…

量子物理 · 物理学 2013-10-15 X. Z. Zhang , Z. Song

The scaling law of entanglement entropy could undergo qualitative changes during the nonunitary evolution of a quantum many-body system. In this work, we uncover such entanglement phase transitions in one-dimensional non-Hermitian…

量子物理 · 物理学 2024-01-18 Longwen Zhou

Non-Hermitian Hamiltonians are relevant to describe the features of a broad class of physical phenomena, ranging from photonics and atomic and molecular systems to nuclear physics and mesoscopic electronic systems. An important question…

介观与纳米尺度物理 · 物理学 2021-04-21 Ygor Pará , Giandomenico Palumbo , Tommaso Macrì

We show that non-Hermitian dynamics generate substantial entanglement in many-body systems. We consider the non-Hermitian Lipkin-Meshkov-Glick model and show that its phase transition occurs with maximum multiparticle entanglement: there is…

量子气体 · 物理学 2014-12-19 Tony E. Lee , Florentin Reiter , Nimrod Moiseyev

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with conserved dynamics, comprising the mesoscopic descriptions of a wide range of nonequilibrium phenomena. They exhibit continuous parity-time…

统计力学 · 物理学 2023-09-08 Thomas Suchanek , Klaus Kroy , Sarah A. M. Loos

The notion of geometric phase has been recently introduced to analyze the quantum phase transitions of many-body systems from the geometrical perspective. In this work, we study the geometric phase of the ground state for an inhomogeneous…

强关联电子 · 物理学 2012-09-04 Yu-Quan Ma , Shu Chen
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