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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…

Mesoscale and Nanoscale Physics · Physics 2023-10-09 W. B. Rui , Y. X. Zhao , Z. D. Wang

Discrete time crystals (DTC) exhibit a special non-equilibrium phase of matter in periodically driven many-body systems with spontaneous breaking of time translational symmetry. The presence of decoherence generally enhances thermalization…

Quantum Physics · Physics 2024-10-31 Rozhin Yousefjani , Angelo Carollo , Krzysztof Sacha , Saif Al-Kuwari , Abolfazl Bayat

Non-Hermitian quantum systems have recently attracted considerable attention due to their exotic properties. Though many experimental realizations of non-Hermitian systems have been reported, the non-Hermiticity usually resorts to the…

Quantum Physics · Physics 2023-06-21 Hongfeng Liu , Xiaodong Yang , Kai Tang , Liangyu Che , Xinfang Nie , Tao Xin , Jun Li , Dawei Lu

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

Quantum mechanics is able to predict challenging behaviors even in the simplest physical scenarios. These behaviors are possible because of the important dynamical role that phase plays in the evolution of quantum systems, and are very…

Quantum Physics · Physics 2024-11-19 A. S. Sanz

We study dynamical phase transitions occurring in the stationary state of the dynamics of integrable many-body non-hermitian Hamiltonians, which can be either realized as a no-click limit of a stochastic Schr\"{o}dinger equation or using…

Quantum Physics · Physics 2023-04-24 Caterina Zerba , Alessandro Silva

The quantum metric, a geometric measure of state-space distance, has recently attracted growing attention for capturing anomalous state responses to parameter variations. Especially in non-Hermitian systems, the quantum metric has been…

Quantum Physics · Physics 2026-03-31 Teng Liu , Xiaohang Zhang , Jiawei Zhang , Le Luo

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes. We discuss the characterization of such dynamical phase transitions based on the statistics of produced…

Statistical Mechanics · Physics 2015-06-03 Pietro Smacchia , Michael Knap , Eugene Demler , Alessandro Silva

Non-Hermitian Hamiltonians provide an alternative perspective on the dynamics of quantum and classical systems coupled non-conservatively to an environment. Once primarily an interest of mathematical physicists, the theory of non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Hilary M. Hurst , Benedetta Flebus

A proposed paradigm for out-of-equilibrium quantum systems is that an analogue of quantum phase transitions exists between parameter regimes of qualitatively distinct time-dependent behavior. Here, we present evidence of such a transition…

Despite acute interest in the dynamics of non-Hermitian systems, there is a lack of consensus in the mathematical formulation of non-Hermitian quantum mechanics in the community. Different methodologies are used in the literature to study…

Quantum Physics · Physics 2025-03-31 Karin Sim , Nicolò Defenu , Paolo Molignini , R. Chitra

We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases…

Statistical Mechanics · Physics 2015-05-19 Xiao-Feng Shi , Yan Chen , J. Q. You

Both theoretical and experimental studies of topological phases in non-Hermitian systems have made a remarkable progress in the last few years of research. In this article, we review the key concepts pertaining to topological phases in…

Mesoscale and Nanoscale Physics · Physics 2019-07-18 Ananya Ghatak , Tanmoy Das

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

Nuclear Theory · Physics 2014-11-18 A. Leviatan

We show a dissipative phase transition in a driven nonlinear quantum oscillator in which a discrete time-translation symmetry is spontaneously broken in two different ways. The corresponding regimes display either discrete or incommensurate…

Quantum Physics · Physics 2024-08-13 Albert Cabot , Gianluca Giorgi , Roberta Zambrini

We introduce and study dynamical probes of band structure topology in the post-quench time-evolution from mixed initial states of quantum many-body systems. Our construction generalizes the notion of dynamical quantum phase transitions…

Quantum Gases · Physics 2017-11-29 M. Heyl , J. C. Budich

We propose a new type of quantum thermodynamic cycle whose efficiency is greater than the one of the classical Carnot cycle for the same conditions for a system when viewed as homogeneous. In our model this type of cycle only exists in the…

Quantum Physics · Physics 2024-08-15 Andreas Fring , Marta Reboiro

The non-Bloch topology leads to the emergence of various counter-intuitive phenomena in non-Hermitian systems under the open boundary condition (OBC), which can not find a counterpart in Hermitian systems. However, in the non-Hermitian…

Quantum Physics · Physics 2024-07-29 Yue Zhang , Shuai Li , Yingchao Xu , Rui Tian , Miao Zhang , Hongrong Li , Hong Gao , M. Suhail Zubairy , Fuli Li , Bo Liu

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

The nonanalyticity of the Loschmidt echo at critical times in quantum quenched systems is termed as the dynamical quantum phase transition, extending the notion of quantum criticality to a nonequilibrium scenario. In this paper, we…

Disordered Systems and Neural Networks · Physics 2024-07-30 Niaz Ali Khan , Pei Wang , Munsif Jan , Gao Xianlong
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