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Related papers: Topological Boundary Time Crystal Oscillations

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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…

Quantum Physics · Physics 2026-04-17 Dominik Nemeth , Ahsan Nazir , Robert-Jan Slager , Alessandro Principi

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,…

Quantum Physics · Physics 2021-07-21 Giulia Piccitto , Matteo Wauters , Franco Nori , Nathan Shammah

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…

Statistical Mechanics · Physics 2021-05-24 Luis Fernando dos Prazeres , Leonardo da Silva Souza , Fernando Iemini

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…

Quantum Physics · Physics 2025-12-29 Zhuqing Wang , Ruochen Gao , Xiaoling Wu , Berislav Buča , Klaus Mølmer , Li You , Fan Yang

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…

Quantum Physics · Physics 2026-02-20 Dominik Nemeth , Alessandro Principi , Ahsan Nazir

Boundary time crystals are a class of exotic dissipative quantum phases that spontaneously break continuous time-translation symmetry in the thermodynamic limit of open quantum systems. In finite-size systems, the long-time evolution of…

Quantum Physics · Physics 2025-10-06 Zeping Liu , Yaotian Li , Zhaoyu Fei , Xiaoguang Wang

This study aims to provide evidence regarding the emergence of a class of dissipative time crystals when $\mathcal{PT}$ symmetry of the systems is restored in collective spin systems with Lindblad dynamics. First, we show that a standard…

Quantum Physics · Physics 2023-01-25 Yuma Nakanishi , Tomohiro Sasamoto

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…

Quantum Physics · Physics 2024-05-01 Ya-Xin Xiang , Qun-Li Lei , Zhengyang Bai , Yu-Qiang Ma

We investigate the use of a boundary time crystals (BTCs) as quantum sensors of AC fields. Boundary time crystals are non-equilibrium phases of matter in contact to an environment, for which a macroscopic fraction of the many-body system…

Quantum Physics · Physics 2025-03-19 Dominic Gribben , Anna Sanpera , Rosario Fazio , Jamir Marino , Fernando Iemini

Topologically ordered phases of matter elude Landau's symmetry-breaking theory, featuring a variety of intriguing properties such as long-range entanglement and intrinsic robustness against local perturbations. Their extension to…

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

Non-Hermitian quantum systems exhibit various interesting and inter-connected spectral, topological, and boundary-sensitive features. By introducing conditional boundary conditions (CBCs) for non-Hermitian quantum systems, we explore a…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Yongxu Fu , Yi Zhang

We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a…

Statistical Mechanics · Physics 2022-10-19 Alessandro Santini , Giuseppe E. Santoro , Mario Collura

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…

Quantum Physics · Physics 2022-12-22 Gianluca Passarelli , Procolo Lucignano , Rosario Fazio , Angelo Russomanno

The spontaneous breaking of time-translation symmetry in periodically driven quantum systems leads to a new phase of matter: discrete time crystals (DTC). This phase exhibits collective subharmonic oscillations that depend upon an interplay…

Statistical Mechanics · Physics 2020-04-21 Norman Y. Yao , Chetan Nayak , Leon Balents , Michael P. Zaletel

We study Boundary time crystals (BTCs) in the presence of non-Markovian dynamics. In contrast to BTCs observed in earlier works in the Markovian regime, we show that non-Markovian dynamics can be highly beneficial for stabilizing BTCs over…

Quantum Physics · Physics 2026-05-08 Bandita Das , Rahul Ghosh , Victor Mukherjee

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…

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

Bound states in the continuum (BICs) are polarization singularities in momentum space whose topological charges (TCs) govern advanced light-matter interactions. While lattice symmetry protects the existence of robust BICs at the…

Optics · Physics 2026-05-19 Keren Wang , Lujun Huang , Wei Wang

A discrete time crystal (DTC) repeats itself with a rigid rhythm, mimicking a ticking clock set by the interplay between its internal structures and an external force. DTCs promise profound applications in precision time-keeping and other…

Quantum Gases · Physics 2020-07-22 Changyuan Lyu , Sayan Choudhury , Chenwei Lv , Yangqian Yan , Qi Zhou
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