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A conventional quantum phase transition (QPT) occurs not only at zero temperature, but also exhibits finite-temperature quantum criticality. Motivated by the discovery of the pseudo-Hermiticity of non-Hermitian systems, we explore the…

量子物理 · 物理学 2015-12-09 Ci. Li , Zhi. Song

Non-Hermitian (NH) Hamiltonians can be used to describe dissipative systems, and are currently intensively studied in the context of topology. A salient difference between Hermitian and NH models is the breakdown of the conventional…

介观与纳米尺度物理 · 物理学 2020-10-14 Elisabet Edvardsson , Flore K. Kunst , Tsuneya Yoshida , Emil J. Bergholtz

Exceptional points, the spectral degeneracy points in the complex parameter space, are fundamental to non-Hermitian quantum systems. The dynamics of non-Hermitian systems in the presence of exceptional points differ significantly from those…

量子物理 · 物理学 2021-01-29 Chon-Fai Kam , Yang Chen

Non-Hermitian systems, going beyond conventional Hermitian systems, have brought in intriguing concepts such as exceptional points and complex spectral topology as well as exotic phenomena such as non-Hermitian skin effects (NHSEs).…

量子物理 · 物理学 2024-09-23 Li-Wei Wang , Jian-Hua Jiang

Manifestly non-Hermitian quantum graphs with real spectra are introduced and shown tractable as a new class of phenomenological models with several appealing descriptive properties. For illustrative purposes, just equilateral star-graphs…

高能物理 - 理论 · 物理学 2009-11-10 Miloslav Znojil

Efficiency of quantum transport through aggregates with multiple end-points or traps proves to be an emergent and a highly non-equilibrium phenomenon. We present a numerically exact approach for computing the emergent time scale and amount…

量子物理 · 物理学 2025-09-19 Devansh Sharma , Amartya Bose

In this work we first show a simple approach to constructing non-Hermitian Hamiltonians with a real spectrum, which are \textit{not} obtained by a non-unitary transformation such as the imaginary gauge transformation. They are given,…

量子物理 · 物理学 2024-03-18 Li Ge

The complex eigenenergies and non-orthogonal eigenstates of non-Hermitian systems exhibit unique topological phenomena that cannot appear in Hermitian systems. Representative examples are the non-Hermitian skin effect and exceptional…

量子物理 · 物理学 2025-12-19 Jung-Wan Ryu , Jae-Ho Han , Chang-Hwan Yi , Hee Chul Park , Moon Jip Park

In this work, we consider a two level $P\sigma_{z}$ pseudo-Hermitian system in contact with a thermal bath to study various thermodynamic properties. The system is realized in terms of infinitely many invariant subspaces. We find explicit…

量子物理 · 物理学 2025-03-25 Gargi Das , Bhabani Prasad Mandal

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

Recent years have seen remarkable development in open quantum systems effectively described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological systems is the skin effect, anomalous localization of an extensive…

统计力学 · 物理学 2023-04-14 Kohei Kawabata , Tokiro Numasawa , Shinsei Ryu

We propose an ultracold-atom setting where a fermionic superfluidity with attractive s-wave interaction is uploaded in a non-Hermitian Lieb optical lattice. The existence of a real-energy flat band solution is revealed. We show that the…

量子气体 · 物理学 2021-05-18 Peng He , Hai-Tao Ding , Shi-Liang Zhu

The first objective of this article is to show that the black hole partition function can be placed on a firm logical foundation by enclosing the black hole in a spatially finite "box" or boundary. The presence of the box has the effect of…

广义相对论与量子宇宙学 · 物理学 2008-02-03 J. D. Brown , J. W. York

We investigate the two-port scattering process in non-Hermitian dimer models via quantum measurements using external leads. We focus on two exemplary dimer models that preserve parity-time symmetry via spatial gain-loss balance and exhibit…

介观与纳米尺度物理 · 物理学 2026-02-09 Jung-Wan Ryu , Henning Schomerus , Hee Chul Park

We investigate the roles of non-Hermitian topology in spectral properties and entanglement structures of open systems. In terms of spectral theory, we give a unified understanding of two interpretations of non-Hermitian topology: quantum…

介观与纳米尺度物理 · 物理学 2021-02-24 Nobuyuki Okuma , Masatoshi Sato

We present an approach based on a non-Hermitian Hamiltonian to describe the process of measurement by tunneling of a phase qubit state. We derive simple analytical expressions which describe the dynamics of measurement, and compare our…

量子物理 · 物理学 2012-11-15 Alexander I. Nesterov , Gennady P. Berman , Alan R. Bishop

There is growing interest in viable quantum theories with PT-symmetric non-Hermitian Hamiltonians, but a formulation of transition matrix elements consistent with positivity and perturbative unitarity has so far proved elusive. This Letter…

量子物理 · 物理学 2026-02-18 Jean Alexandre , Madeleine Dale , John Ellis , Robert Mason , Peter Millington

We investigate the many-particle and mean-field correspondence for a non-Hermitian N-particle Bose-Hubbard dimer where a complex onsite energy describes an effective decay from one of the modes. Recently a generalized mean-field…

量子物理 · 物理学 2010-07-22 Eva-Maria Graefe , Hans Jürgen Korsch , Astrid Elisa Niederle

We derive the metric of the BTZ black hole for the special case of interchanging the characteristics of space and time coordinates. We maximally extend the geometry of this interior solution and show that the line element is similar to its…

广义相对论与量子宇宙学 · 物理学 2025-08-22 Ovidiu Racorean

This paper builds on our earlier proposal for construction of a positive inner product for pseudo-Hermitian Hamiltonians and we give several examples to clarify our method. We show through the example of the harmonic oscillator how our…

量子物理 · 物理学 2011-04-07 Ashok Das , L. Greenwood