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We investigate how symmetries and conserved quantities relate to the occurrence of the boundary time crystal (BTC) phase in a generalized spin model with Lindblad dissipation. BTCs are a non-equilibrium phase of matter in which the system,…

量子物理 · 物理学 2021-07-21 Giulia Piccitto , Matteo Wauters , Franco Nori , Nathan Shammah

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…

量子物理 · 物理学 2025-02-10 Yuma Nakanishi , Ryo Hanai , Tomohiro Sasamoto

Boundary time crystals (BTCs) in dissipative collective spin systems have been extensively studied using numerical, mean-field, and perturbative approaches. However, an explicit Liouvillian description governing the long-time dynamics deep…

量子物理 · 物理学 2026-02-20 Dominik Nemeth , Alessandro Principi , Ahsan Nazir

Dissipative time crystals can appear in spin systems, when the $Z_2$ symmetry of the Hamiltonian is broken by the environment, and the square of total spin operator $S^2$ is conserved. In this manuscript, we relax the latter condition and…

量子物理 · 物理学 2022-12-22 Gianluca Passarelli , Procolo Lucignano , Rosario Fazio , Angelo Russomanno

Continuous time crystals (CTCs) are characterized by sustained oscillations that break the time translation symmetry. Since the ruling out of equilibrium CTCs by no-go theorems, the emergence of such dynamical phases has been observed in…

量子物理 · 物理学 2024-05-01 Ya-Xin Xiang , Qun-Li Lei , Zhengyang Bai , Yu-Qiang Ma

Boundary time crystals (BTC's) are non-equilibrium phases of matter occurring in quantum systems in contact to an environment, for which a macroscopic fraction of the many body system breaks time translation symmetry. We study BTC's in…

统计力学 · 物理学 2021-05-24 Luis Fernando dos Prazeres , Leonardo da Silva Souza , Fernando Iemini

Boundary time crystals (BTCs) are prominent examples of continuous time crystals in collective spin systems governed by Lindbladian evolution. To date, their analysis has mostly relied on semiclassical and numerical approaches. Here, we…

量子物理 · 物理学 2026-04-17 Dominik Nemeth , Ahsan Nazir , Robert-Jan Slager , Alessandro Principi

Driven-dissipative many-body system supports nontrivial quantum phases absent in equilibrium. As a prominent example, the interplay between coherent driving and collective dissipation can lead to a dynamical quantum phase that spontaneously…

量子物理 · 物理学 2025-12-29 Zhuqing Wang , Ruochen Gao , Xiaoling Wu , Berislav Buča , Klaus Mølmer , Li You , Fan Yang

Spontaneous symmetry breaking is a fundamental concept in many areas of physics, ranging from cosmology and particle physics to condensed matter. A prime example is the breaking of spatial translation symmetry, which underlies the formation…

Discrete time crystals (DTCs) are new phases of matter characterized by the presence of an observable evolving with $nT$ periodicity under a $T$-periodic Hamiltonian, where $n>1$ is an integer insensitive to small parameter variations. In…

量子物理 · 物理学 2020-01-17 Pekik Nurwantoro , Raditya Weda Bomantara , Jiangbin Gong

A quantum phase of matter can be understood from the symmetry of the system's Hamiltonian. The system symmetry along the time axis has been proposed to show a new phase of matter referred as discrete-time crystals (DTCs). A DTC is a quantum…

Time crystal is a class of non-equilibrium phases with broken time-translational symmetry. Here we demonstrate the time crystal in a single-mode nonlinear cavity. The time crystal originates from the self-oscillation induced by a linear…

量子物理 · 物理学 2024-12-05 Yaohua Li , Chenyang Wang , Yuanjiang Tang , Yong-Chun Liu

Periodically driven quantum systems host a range of non-equilibrium phenomena which are unrealizable at equilibrium. Discrete time-translational symmetry in a periodically driven many-body system can be spontaneously broken to form a…

介观与纳米尺度物理 · 物理学 2019-06-11 James O'Sullivan , Oliver Lunt , Christoph W. Zollitsch , M. L. W. Thewalt , John J. L. Morton , Arijeet Pal

We study an emergent semiclassical time crystal composed of two interacting driven-dissipative bosonic modes. The system has a discrete $\mathbb Z_2$ spatial symmetry which, depending on the strength of the drive, can be broken in the…

量子物理 · 物理学 2020-06-11 Cristóbal Lledó , Marzena H. Szymańska

The notion of spontaneous symmetry breaking has been well established to characterize classical and quantum phase transitions of matter, such as in condensation, crystallization or quantum magnetism. Generalizations of this paradigm to the…

Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase…

量子物理 · 物理学 2020-04-09 C. M. Dai , Z. C. Gu , X. X. Yi

The formation of a phase of matter can be associated with the spontaneous breaking of a symmetry. For crystallization, this broken symmetry is the spatial translation symmetry, as the atoms spontaneously localize in a periodic fashion. In…

We consider a dissipative quantum Ising model periodically driven by a train of $\pi$-pulses and investigate dissipative discrete time crystals (DTCs) in solids. In this model, the interaction between the spins spontaneously breaks the…

统计力学 · 物理学 2022-06-01 Koki Chinzei , Tatsuhiko N. Ikeda

Spontaneous symmetry breaking plays a pivotal role in physics ranging from the emergence of elementary particles to the phase transitions of matter. The spontaneous breaking of continuous time translation symmetry leads to a novel state of…

Discrete time crystals are novel phases of matter that break the discrete time translational symmetry of a periodically driven system. In this work, we propose a classical system of weakly-nonlinear parametrically-driven coupled oscillators…

统计力学 · 物理学 2025-01-31 Stuart Yi-Thomas , Jay D. Sau
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