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Integrability is a cornerstone of classical mechanics, where it has a precise meaning. Extending this notion to quantum systems, however, remains subtle and unresolved. In particular, deciding whether a quantum Hamiltonian - viewed simply…

统计力学 · 物理学 2026-02-10 Feng He , Arthur Hutsalyuk , Giuseppe Mussardo , Andrea Stampiggi

Non-Hermitian dynamics is ubiquitous in various physical systems. While recent study shows that such a dynamics leads to an area-law scaling of the entanglement entropy due to the non-Hermitian skin effects, it remains unclear how disorder…

量子物理 · 物理学 2023-06-09 Kai Li , Ze-Chuan Liu , Yong Xu

A non-Hermitian PT-symmetric version of the kicked top is introduced to study the interplay of quantum chaos with balanced loss and gain. The classical dynamics arising from the quantum dynamics of the angular momentum expectation values…

量子物理 · 物理学 2021-01-15 Steve Mudute-Ndumbe , Eva-Maria Graefe

We investigate the low-energy physics of non-Hermitian quantum spin models with $PT$-symmetry. To this end we consider the one-dimensional Ising chain and the two-dimensional toric code in a non-Hermitian staggered field. For both systems…

强关联电子 · 物理学 2021-12-01 L. Lenke , M. Mühlhauser , K. P. Schmidt

Recent advances in quantum simulations have opened access to the real-time dynamics of lattice gauge theories, providing a new setting to explore how quantum criticality influences thermalization and ergodicity far from equilibrium. Using…

The single orbital, one-dimensional, Hatano-Nelson Hamiltonian provides deep insight into the physics of non-Hermiticity, resulting from asymmetric left/right hopping, and its connections to localization. In the absence of disorder, its…

强关联电子 · 物理学 2026-04-17 Jonah Huang , Rubem Mondaini , Nancy Aggarwal , Richard Scalettar

We investigate the decoherence properties of a central system composed of two spins 1/2 in contact with a spin bath. The dynamical regime of the bath ranges from a fully integrable integrable limit to complete chaoticity. We show that the…

介观与纳米尺度物理 · 物理学 2009-11-13 A. Relano , J. Dukelsky , R. A. Molina

Krylov complexity measures the spread of the wavefunction in the Krylov basis, which is constructed using the Hamiltonian and an initial state. We investigate the evolution of the maximally entangled state in the Krylov basis for both…

高能物理 - 理论 · 物理学 2023-09-06 Johanna Erdmenger , Shao-Kai Jian , Zhuo-Yu Xian

We study temporal correlations in interacting quantum systems through the influence functional of a half-infinite quantum Ising chain. Using R\'enyi entropies and temporal mutual information, we confirm that integrable dynamics is captured…

In quantum many-body systems, interactions play a crucial role in the emergence of information scrambling. When particles interact throughout the system, the entanglement between them can lead to a rapid and chaotic spreading of quantum…

量子物理 · 物理学 2024-12-04 Qucheng Gao , Tianci Zhou , Pengfei Zhang , Xiao Chen

The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that…

介观与纳米尺度物理 · 物理学 2023-10-09 W. B. Rui , Y. X. Zhao , Z. D. Wang

We present a general study of the large family of exact integrable quantum chains with multispin interactions introduced recently in \cite{AP2020}. The exact integrability follows from the algebraic properties of the energy density…

统计力学 · 物理学 2021-01-04 Francisco C. Alcaraz , Rodrigo A. Pimenta

We study the spectral properties of a spin-boson Hamiltonian that depends on two continuous parameters $0\leq\Lambda<\infty$ (interaction strength) and $0\leq\alpha\leq\pi/2$ (integrability switch). In the classical limit this system has…

其他凝聚态物理 · 物理学 2009-11-13 Vyacheslav V. Stepanov , Gerhard Muller , Joachim Stolze

The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static…

量子物理 · 物理学 2023-06-21 Takahiro Orito , Ken-Ichiro Imura

Preserving quantum coherence with the increase of a system's size and complexity is a major challenge. Molecules, with their diverse sizes and complexities and many degrees of freedom, are an excellent platform for studying the transition…

量子物理 · 物理学 2024-09-23 Tamar Levin , Ziv Meir

A main feature of a chaotic quantum system is a rigid spectrum where the levels do not cross. We discuss how the presence of level repulsion in lattice many-body quantum systems can be detected from the analysis of their time evolution…

统计力学 · 物理学 2018-01-08 E. J. Torres-Herrera , Lea F. Santos

Thermalization and its breakdown in interacting quantum many-body systems are governed by mid-spectrum eigenstates, which are typically accessible only in small system sizes amenable to exact diagonalization. Here we demonstrate that the…

强关联电子 · 物理学 2026-03-31 Andrew Hallam , Jared Jeyaretnam , Zlatko Papić

A dynamical signature of localization in quantum systems is the absence of transport which is governed by the amount of coherence that configuration space states possess with respect to the Hamiltonian eigenbasis. To make this observation…

量子物理 · 物理学 2019-12-25 Georgios Styliaris , Namit Anand , Lorenzo Campos Venuti , Paolo Zanardi

The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As a concrete model, we consider a one-dimensional tight-binding model with asymmetric hopping…

量子物理 · 物理学 2023-12-15 Takahiro Orito , Ken-Ichiro Imura

Quantum entanglement plays a crucial role not only in understanding Hermitian many-body systems but also in offering valuable insights into non-Hermitian quantum systems. In this paper, we analytically investigate the entanglement…

量子物理 · 物理学 2025-04-09 Pei-Yun Yang , Yu-Chin Tzeng