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Non-Hermitian systems exhibit richer topological properties compared to their Hermitian counterparts. It is well known that non-Hermitian systems have been classified based on either the symmetry relations for non-Hermitian Hamiltonians or…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Zhiyu Jiang , Ryo Okamoto , Hideaki Obuse

The ordinary time-dependent perturbation theory of quantum mechanics, that describes the interaction of a stationary system with a time-dependent perturbation, predicts that the transition probabilities induced by the perturbation are…

Quantum Physics · Physics 2017-10-11 S. Longhi , G. Della Valle

Non-Hermitian quantum systems exhibit fascinating characteristics such as non-Hermitian topological phenomena and skin effect, yet their studies are limited by the intrinsic difficulties associated with their eigenvalue problems, especially…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Guang Yang , Yongkang Li , Yongxu Fu , Zhenduo Wang , Yi Zhang

An Attempt is made to study the non-Hermitian effect on the topological quantum criticality and also in the physics of Majroana zero mode (MZMs). In this work, the effects and modifications done by the non-Hermitian factor $\gamma$ on the…

Strongly Correlated Electrons · Physics 2021-09-23 S Rahul , Sujit Sarkar

Dynamical phase transitions (DPTs) characterize critical changes in system behavior occurring at finite times, providing a lens to study nonequilibrium phenomena beyond conventional equilibrium physics. While extensively studied in quantum…

Physics and Society · Physics 2024-12-10 Jiazhen Liu , Nathaniel M. Aden , Debasish Sarker , Chaoming Song

Topological phases in non-Hermitian systems have become fascinating subjects recently. In this paper, we attempt to classify topological phases in 1D interacting non-Hermitian systems. We begin with the non-Hermitian generalization of the…

Strongly Correlated Electrons · Physics 2021-05-18 Wenjie Xi , Zhi-Hao Zhang , Zheng-Cheng Gu , Wei-Qiang Chen

Topological insulators have been studied intensively over the last decades. Earlier research focused on Hermitian Hamiltonians, but recently, peculiar and interesting properties were found by introducing non-Hermiticity. In this work, we…

Statistical Mechanics · Physics 2024-05-29 Chao Chen Ye , W. L. Vleeshouwers , S. Heatley , V. Gritsev , C. Morais Smith

In this article we provide a review of geometrical methods employed in the analysis of quantum phase transitions and non-equilibrium dissipative phase transitions. After a pedagogical introduction to geometric phases and geometric…

Quantum Physics · Physics 2019-11-25 Angelo Carollo , Davide Valenti , Bernardo Spagnolo

In this work we investigate non-Hermitian topological phase transitions using real-space edge states as a paradigmatic tool. We focus on the simplest non-Hermitian variant of the Su-Schrieffer-Hegger model, including a parameter that…

Strongly Correlated Electrons · Physics 2024-03-15 Rui Aquino , Nei Lopes , Daniel G. Barci

Models based on non-Hermitian Hamiltonians can exhibit a range of surprising and potentially useful phenomena. Physical realizations typically involve couplings to sources of incoherent gain and loss; this is problematic in quantum…

Quantum Physics · Physics 2019-07-03 Yu-Xin Wang , A. A. Clerk

Dissipation in open systems enriches the possible symmetries of the Hamiltonians beyond the Hermitian framework allowing the possibility of novel non-Hermitian topological phases, which exhibit long-living end states that are protected…

Quantum Physics · Physics 2023-04-05 Wojciech Brzezicki , Matti Silveri , Marcin Płodzień , Francesco Massel , Timo Hyart

Non-Hermitian quasicrystal constitutes a unique class of disordered open system with PT-symmetry breaking, localization and topological triple phase transitions. In this work, we uncover the effect of quantum correlation on phase…

Quantum Physics · Physics 2024-02-23 Tian Qian , Yongjian Gu , Longwen Zhou

Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking, localization and topological transitions induced by gain and loss or nonreciprocal effects. In this work, we introduce a non-Abelian generalization of the…

Quantum Physics · Physics 2024-02-23 Longwen Zhou

Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical and transport properties. In this work, we introduce an experimentally realizable two-leg ladder model subjecting to…

Quantum Physics · Physics 2020-08-26 Longwen Zhou

Many-body interactions give rise to the appearance of exotic phases in Hermitian physics. Despite their importance, many-body effects remain an open problem in non-Hermitian physics due to the complexity of treating many-body interactions.…

Quantum Physics · Physics 2023-06-05 Sharareh Sayyad , Jose L. Lado

Investigating the robustness of non-reciprocity in the presence of competing interactions is central to understanding non-reciprocal quantum matter. In this work, we use reservoir engineering to induce non-reciprocal hopping and pairing in…

Quantum Physics · Physics 2025-10-30 Pietro Brighi , Andreas Nunnenkamp

Considering a non-Hermitian version of $p$-wave Kitaev chain in the presence of additional second nearest neighbour tunneling, we study dynamical quantum phase transition (DQPT) which accounts for the vanishing Loschmidt amplitude. The…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Debashish Mondal , Tanay Nag

The interaction of a discrete state coupled to a continuum is a longstanding problem of major interest in different areas of quantum and classical physics. In Hermitian models, several dynamical decoupling schemes have been suggested, in…

Quantum Physics · Physics 2018-01-17 Stefano Longhi

One among the possible realizations of non-Hermitian systems is based on open quantum systems by omitting quantum jumping terms in the master equation. This is a good approximation at short times where the effects of quantum jumps can be…

Quantum Physics · Physics 2023-09-21 Xiangyu Niu , Jianning Li , S. L. Wu , X. X. Yi

We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that…

Quantum Gases · Physics 2023-05-03 Sebastian Stumper , Michael Thoss , Junichi Okamoto
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