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Related papers: Non-Hermitian Discrete Time Crystals

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Time crystals are classified as discrete or continuous depending on whether they spontaneously break discrete or continuous time translation symmetry. While discrete time crystals have been extensively studied in periodically driven systems…

Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the…

Quantum Gases · Physics 2020-08-19 Lingzhen Guo , Pengfei Liang

Phase transitions are fundamental in nature. A small parameter change near a critical point leads to a qualitative change in system properties. Across a regular phase transition, the system remains in thermal equilibrium and, therefore,…

Strongly Correlated Electrons · Physics 2024-12-24 Jingwen Li , Michael Turaev , Masakazu Matsubara , Kristin Kliemt , Cornelius Krellner , Shovon Pal , Manfred Fiebig , Johann Kroha

We present a systematic study of statistical mechanics for non-Hermitian quantum systems. Our work reveals that the stability of a non-Hermitian system necessitates the existence of a single path-dependent conserved quantity, which, in…

Statistical Mechanics · Physics 2023-12-04 Kui Cao , Su-Peng Kou

Non-Hermiticity has recently emerged as a rapidly developing field due to its exotic characteristics related to open systems, where the dissipation plays a critical role. In the presence of balanced energy gain and loss with environment,…

Optics · Physics 2024-04-10 Chang Li , Ruisheng Yang , Xinchao Huang , Quanhong Fu , Yuancheng Fan , Fuli Zhang

Eigenstate phases such as the discrete time crystal exhibit an inherent instability upon the coupling to an environment, which restores equipartition of energy and therefore acts against the protecting nonergodicity. Here, we demonstrate…

Quantum Physics · Physics 2019-02-19 Leon Droenner , Regina Finsterhölzl , Markus Heyl , Alexander Carmele

The Letter by N. Y. Yao et. al. [1,2] presents three models for realizing a many-body localized discrete time-crystal (MBL DTC): a short-ranged model [1], its revised version [2], as well as a long-range model of a trapped ion experiment…

Disordered Systems and Neural Networks · Physics 2021-09-03 Vedika Khemani , Roderich Moessner , S. L. Sondhi

Discrete time crystals are a recently proposed and experimentally observed out-of-equilibrium dynamical phase of Floquet systems, where the stroboscopic evolution of a local observable repeats itself at an integer multiple of the driving…

Statistical Mechanics · Physics 2018-01-29 Zongping Gong , Ryusuke Hamazaki , Masahito Ueda

Time crystals are quantum many-body systems which are able to self-organize their motion in a periodic way in time. Discrete time crystals have been experimentally demonstrated in spin systems. However, the first idea of spontaneous…

Quantum Gases · Physics 2018-07-16 Krzysztof Giergiel , Arkadiusz Kosior , Peter Hannaford , Krzysztof Sacha

Quantum computing's potential for exponential speedup is fundamentally limited by decoherence, a phenomenon arising from environmental interactions. Non-Hermitian quantum mechanics, particularly $PT$-symmetric systems, offers a novel…

Quantum Physics · Physics 2025-11-25 Duttatreya , Ipsika Mohanty , Sanjib Dey

Symmetry-driven wave physics in open systems, exemplified by parity-time (PT) symmetry, has extended the landscape of crystalline phases in materials science to include gain-loss media. Given the growing interest in engineering disorder for…

Continuous time-translation symmetry is often spontaneously broken in open quantum systems, and the condition for their emergence has been actively investigated. However, there are only a few cases in which its condition for appearance has…

Quantum Physics · Physics 2025-02-10 Yuma Nakanishi , Ryo Hanai , Tomohiro Sasamoto

The interplay between many-body interactions and controlled dissipation provides a rich framework for exploring nonequilibrium quantum phases. In this work, we explore an open Dicke model including Rydberg-dressed interactions in a…

Quantum Physics · Physics 2026-04-21 Haohang Zhou , Xianfeng Chen , Luqi Yuan

Understanding quantum dynamics away from equilibrium is an outstanding challenge in the modern physical sciences. It is well known that out-of-equilibrium systems can display a rich array of phenomena, ranging from self-organized…

Non-Hermiticity in quantum Hamiltonians leads to nonunitary time evolution and possibly complex energy eigenvalues, which can lead to a rich phenomenology with no Hermitian counterpart. In this work, we study the dynamics of an exactly…

Quantum Physics · Physics 2023-10-25 Karin Sim , Nicolò Defenu , Paolo Molignini , R. Chitra

The breaking of the continuous time-translation symmetry manifests, in Markovian open quantum systems, through the emergence of non-stationary dynamical phases. Systems that display nonequilibrium transitions into these phases are referred…

Statistical Mechanics · Physics 2022-05-04 Federico Carollo , Igor Lesanovsky

Time crystals, a phase showing spontaneous breaking of time-translation symmetry, has been an intriguing subject for systems far away from equilibrium. Recent experiments found such a phase both in the presence and absence of localization,…

Quantum Gases · Physics 2018-03-21 Biao Huang , Ying-Hai Wu , W. Vincent Liu

In this work, we reported a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. The rigidity and realization of spontaneous discrete time-translation symmetry (DTS) breaking in our…

Optics · Physics 2020-11-25 Yiming Pan , Bing Wang

Time reversal in quantum or classical systems described by an Hermitian Hamiltonian is a physically allowed process, which requires in principle inverting the sign of the Hamiltonian. Here we consider the problem of time reversal of a…

Quantum Physics · Physics 2017-06-29 Stefano Longhi

Sensing periodic-fields using quantum sensors has been an active field of research. In many of these scenarios, the quantum state of the probe is flipped regularly by the application of $\pi$-pulses to accumulate information about the…

Quantum Physics · Physics 2025-11-19 Rozhin Yousefjani , Saif Al-Kuwari , Abolfazl Bayat