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Kinematical and dynamical mechanisms leading to the spontaneous breaking of space-time symmetries are described. The symmetries affected are space and time translations, space rotations, scale and conformal transformations. Applications are…

高能物理 - 理论 · 物理学 2015-03-13 Eliezer Rabinovici

The spontaneous breaking of time translation symmetry has led to the discovery of a new phase of matter - the discrete time crystal. Discrete time crystals exhibit rigid subharmonic oscillations, which result from a combination of many-body…

Discrete time crystals are periodically driven systems that display spontaneous symmetry breaking of time translation invariance in the form of indefinite subharmonic oscillations. We introduce a thermodynamically consistent model for a…

统计力学 · 物理学 2021-01-20 Lukas Oberreiter , Udo Seifert , Andre C. Barato

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

Discrete time crystals (DTCs) refer to a novel many-body steady state that spontaneously breaks the discrete time-translational symmetry in a periodically-driven quantum system. Here, we study DTCs in a Bose-Einstein condensate (BEC)…

量子气体 · 物理学 2021-12-02 Jia Wang , Krzysztof Sacha , Peter Hannaford , Bryan J. Dalton

The Lorentz symmetry and the space and time translational symmetry are fundamental symmetries of nature. Crystals are the manifestation of the continuous space translational symmetry being spontaneously broken into a discrete one. We argue…

统计力学 · 物理学 2018-02-20 Pei Wang

Time crystals are a nonequilibrium phase of matter that extend fundamental spontaneous symmetry breaking into the temporal dimension, typically requiring external driving for their realization. Here, we explore the nonequilibrium phase…

量子物理 · 物理学 2025-05-13 Shu Yang , Zeqing Wang , Libin Fu , Jianwen Jie

Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system that lacks…

量子物理 · 物理学 2025-05-21 T. T. Sergeev , E. S. Andrianov , A. A. Zyablovsky

Discrete time crystals (DTCs) are novel out-of-equilibrium quantum states of matter which break time translational symmetry. DTCs have been extensively realized in experiments, particularly their subclass that is characterized by…

量子物理 · 物理学 2025-12-09 Tianqi Chen , Ruizhe Shen , Ching Hua Lee , Bo Yang , Raditya Weda Bomantara

In a physical system undergoing a continuous quantum phase transition, spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to be preserved in the ground state. In the traditional Landau theory, a symmetry…

量子代数 · 数学 2019-03-05 Marcel Bischoff , Corey Jones , Yuan-Ming Lu , David Penneys

Discrete time crystals (DTCs) are emergent non-equilibrium phases of periodically driven many-body systems, with potential applications ranging from quantum computing to sensing and metrology. There has been significant recent interest in…

A discrete time crystal (DTC) is the paradigmatic example of a phase of matter that occurs exclusively in systems out of equilibrium. This phenomenon is characterized by the spontaneous symmetry breaking of discrete time-translation and…

We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of…

Spontaneous symmetry breaking (SSB) is a key concept in physics that for decades has played a crucial role in the description of many physical phenomena in a large number of different areas, like particle physics, cosmology, and…

统计力学 · 物理学 2021-08-25 J. Smits , H. T. C. Stoof , P. van der Straten

In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C), spatial reflection (P) and time reversal (T) are spontaneously broken in QCD. The order parameter for the symmetry…

高能物理 - 格点 · 物理学 2008-11-26 Biagio Lucini , Agostino Patella , Claudio Pica

It is well known that continuous symmetries of quantum fields can be realized non-linearly, e.g. in the context of sigma models, and can also be spontaneously broken on non-compact spacetimes. In this note we study how these effects are…

高能物理 - 理论 · 物理学 2025-09-15 Federico Bonetti , Michele Del Zotto , Ruben Minasian

We describe an equilibrium state of a rotating trapped atomic condensate, which is characterized by a non-zero internal circulation and spontaneous breaking of the rotational O(2) symmetry with all three major semiaxes of the condensate…

量子气体 · 物理学 2012-11-08 Armen Sedrakian

Spontaneous symmetry breaking and emergent polar order are each of fundamental importance to a range of scientific disciplines, as well as generating rich phase behaviour in liquid crystals (LCs). Here, we show the union of these phenomena…

软凝聚态物质 · 物理学 2024-08-06 Calum Gibb , Jordan Hobbs , Diana Nikolova , Tom Raistrick , Helen Gleeson , Richard Mandle

Spontaneous symmetry breaking underlies much of our classification of phases of matter and their associated transitions. The nature of the underlying symmetry being broken determines many of the qualitative properties of the phase; this is…

Symmetry-breaking phase transitions are ubiquitous in condensed matter systems and in quantum field theories. There is also good reason to believe that they feature in the very early history of the Universe. At many such transitions…

凝聚态物理 · 物理学 2007-05-23 T. W. B. Kibble