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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

Topological phases of matter are generally characterized by topological properties of energy bands of a system. Their transitions under preserved symmetries occur through closing a gap of energy bands, leading to topologically protected…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yan-Bin Yang , Kai Li , Yong Xu

In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by variation of a non-thermal control…

Condensed Matter · Physics 2009-11-10 Matthias Vojta

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

Coupling a system to a nonthermal environment can profoundly affect the phase diagram of the closed system, giving rise to a special class of dissipation-induced phase transitions. Such transitions take the system out of its ground state…

Quantum Physics · Physics 2021-05-26 Matteo Soriente , Toni L. Heugel , Keita Arimitsu , R. Chitra , Oded Zilberberg

Topological phases of matter are defined by their nontrivial patterns of ground-state quantum entanglement, which is irremovable so long as the excitation gap and the protecting symmetries, if any, are maintained. Recent studies on…

Strongly Correlated Electrons · Physics 2019-03-25 Dominic V. Else , Hoi Chun Po , Haruki Watanabe

Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

Quantum theory provides an extensive framework for the description of the equilibrium properties of quantum matter. Yet experiments in quantum simulators have now opened up a route towards generating quantum states beyond this equilibrium…

Statistical Mechanics · Physics 2018-04-24 Markus Heyl

Topological quantum phase transitions are characterised by changes in global topological invariants. These invariants classify many body systems beyond the conventional paradigm of local order parameters describing spontaneous symmetry…

Strongly Correlated Electrons · Physics 2015-05-12 A. Amaricci , J. C. Budich , M. Capone , B. Trauzettel , G. Sangiovanni

Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an…

Strongly Correlated Electrons · Physics 2023-05-12 Ranjith R Kumar , Nilanjan Roy , Y R Kartik , S Rahul , Sujit Sarkar

Topological phase transitions in free fermion systems can be characterized by closing of single-particle gap and change in topological invariants. However, in the presence of electronic interactions, topological phase transitions are more…

Strongly Correlated Electrons · Physics 2016-06-08 Yuan-Yao He , Han-Qing Wu , Zi Yang Meng , Zhong-Yi Lu

Fathoming interplay between symmetry and topology of many-electron wave-functions has deepened understanding of quantum many body systems, especially after the discovery of topological insulators. Topology of electron wave-functions…

Strongly Correlated Electrons · Physics 2017-03-15 SangEun Han , Gil Young Cho , Eun-Gook Moon

Topological phase transitions can be remarkably induced purely by manipulating gain and loss mechanisms, offering a novel approach to engineering topological properties. Recent theoretical studies have revealed gain-loss-induced topological…

Mesoscale and Nanoscale Physics · Physics 2025-02-27 Jin Liu , Wei-Wu Jin , Zhao-Fan Cai , Xin Wang , Yu-Ran Zhang , Xiaomin Wei , Wenbo Ju , Zhongmin Yang , Tao Liu

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

Statistical Mechanics · Physics 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

The dynamics of phase transitions plays a crucial r\^ole in the so-called interface between high energy particle physics and cosmology. Many of the interesting results generated during the last fifteen years or so rely on simplified…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcelo Gleiser

Thermodynamic conventions suffer from describing dynamical distinctions, especially when the structural and energetic changes induced by localized rare events are insignificant. By using the ensemble theory in the trajectory space, we…

Statistical Mechanics · Physics 2023-03-30 Qi-Jun Ye , Xin-Zheng Li

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

Statistical Mechanics · Physics 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

The relation between thermodynamic phase transitions in classical systems and topology changes in their state space is discussed for systems in which equivalence of statistical ensembles does not hold. As an example, the spherical model…

Statistical Mechanics · Physics 2007-05-23 Michael Kastner

There have been considerable efforts devoted to the study of topological phases in certain non-Hermitian systems that possess real eigenfrequencies in the presence of gain and loss. However, it is challenging to experimentally realize such…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shuo Liu , Shaojie Ma , Cheng Yang , Lei Zhang , Wenlong Gao , Yuan Jiang Xiang , Tie Jun Cui , Shuang Zhang

A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

Materials Science · Physics 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari