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Time crystals constitute a novel phase of matter defined by the spontaneous breaking of timetranslation symmetry. Here we present a scheme to realize a continuous-time crystal of the vibrational phonon in the normal mode of two coupled…

Quantum Physics · Physics 2026-04-30 Yi-Ling Zhan , Chun-Fu Liu , J. -T. Bu , K. -F Cui , S. -L. Su , L. -L. Yan , Gang Chen

In analogy to spontaneous breaking of continuous space translation symmetry in the process of space crystal formation, it was proposed that spontaneous breaking of continuous time translation symmetry could lead to time crystal formation.…

Quantum Physics · Physics 2017-12-29 Andrzej Syrwid , Jakub Zakrzewski , Krzysztof Sacha

Crystals are paradigms of ordered structures. While order was once seen as synonymous with lattice periodic arrangements, the discoveries of incommensurate crystals and quasicrystals led to a more general perception of crystalline order,…

Disordered Systems and Neural Networks · Physics 2015-06-18 Uwe Grimm

Time-reversal symmetry breaking superconductivity is a quintessential unconventional quantum state. In Josephson junctions, time-reversal symmetry breaking manifests itself in the supercurrent interference pattern as the invariance of the…

The Josephson effect is generally described as Cooper pair tunneling, but it can also be understood in a more general context. The DC Josephson effect is the pseudo-Goldstone boson of two coupled systems with a broken continuous abelian…

Mesoscale and Nanoscale Physics · Physics 2010-04-20 D. Chasse , A. -M. S. Tremblay

Superconductivity owes its properties to the phase of the electron pair condensate that breaks the $U(1)$ symmetry. In the most traditional ground state, the phase is uniform and rigid. The normal state can be unstable towards special…

Superconductivity · Physics 2020-02-05 P. Holmvall , M. Fogelström , T. Löfwander , A. B. Vorontsov

The recent discovery of intrinsic supercurrent diode effect, and its prompt observation in a rich variety of systems, has shown that nonreciprocal supercurrents naturally emerge when both space- and time-inversion symmetries are broken. In…

We report on the observation of the Josephson effect between two strongly interacting fermionic superfluids coupled through a thin tunneling barrier. We prove that the relative population and phase are canonically conjugate dynamical…

In this work we introduce {\it boundary time-crystals}. Here {\it continuous} time-translation symmetry breaking occurs only in a macroscopic fraction of a many-body quantum system. After introducing their definition and properties, we…

Quantum Physics · Physics 2018-07-23 F. Iemini , A. Russomanno , J. Keeling , M. Schirò , M. Dalmonte , R. Fazio

Josephson-like junctions, transiently established in heavy ion collisions between superfluid nuclei, few MeV below the Coulomb barrier, allow for the back and forth transfer of a nuclear Cooper pair of effectively charged nucleons and thus…

Nuclear Theory · Physics 2022-06-22 R. A. Broglia , F. Barranco , L. Corradi , G. Potel , S. Szilner , E. Vigezzi

Time crystals correspond to a phase of matter where time-translational symmetry (TTS) is broken. Up to date, they are well studied in open quantum systems, where external drive allows to break discrete TTS, ultimately leading to Floquet…

Quantum Physics · Physics 2019-11-27 Valerii K. Kozin , Oleksandr Kyriienko

Superconductivity derives its most salient features from the coherence of its macroscopic wave function. The associated physical phenomena have now moved from exotic subjects to fundamental building blocks for quantum circuits such as…

Mesoscale and Nanoscale Physics · Physics 2015-07-10 Benoit Gaury , Joseph Weston , Xavier Waintal

A time crystal is an exotic phase of matter where time-translational symmetry is broken; this phase differs from the spatial symmetry breaking induced in crystals in space. Lots of experiments report the transition from a thermal…

The Josephson effect presents a fundamental example of macroscopic quantum coherence as well as a crucial enabler for metrology (e.g. voltage standard), sensing (e.g. Superconducting Quantum Interference Device) and quantum information…

Quantum Gases · Physics 2025-07-03 Nalinikanta Pradhan , Rina Kanamoto , M. Bhattacharya , Pankaj Kumar Mishra

Quantum sensing is one of the arenas that exemplifies the superiority of quantum technologies over their classical counterparts. Such superiority, however, can be diminished due to unavoidable noise and decoherence of the probe. Thus,…

Quantum Physics · Physics 2023-10-25 V. Montenegro , M. G. Genoni , A. Bayat , M. G. A. Paris

The existence of a paradoxical supersolid phase of matter, possessing the apparently incompatible properties of crystalline order and superfluidity, was predicted 50 years ago. Solid helium was the natural candidate, but there supersolidity…

The transmission of Cooper pairs between two weakly coupled superconductors produces a superfluid current and a phase difference; the celebrated Josephson effect. Because of time-reversal and parity symmetries, there is no Josephson current…

Spontaneous breaking of continuous time translation symmetry into a discrete one is related to time crystal formation. While the phenomenon is not possible in the ground state of a time-independent many-body system, it can occur in an…

Quantum Gases · Physics 2018-08-21 Arkadiusz Kosior , Andrzej Syrwid , Krzysztof Sacha

We demonstrate the emergence of an intrinsic space-time crystalline order in a long ferromagnetic $\varphi_{0}$ Josephson junction on a topological insulator without any external periodic modulation. The presence of the exchange and…

Superconductivity · Physics 2025-11-18 M. Nashaat , J. Tekić , Yu. M. Shukrinov

We propose an experimental realization of a time crystal using an atomic Bose-Einstein condensate in a high finesse optical cavity pumped with laser light detuned to the blue side of the relevant atomic resonance. By mapping out the…

Quantum Physics · Physics 2019-05-10 Hans Keßler , Jayson G. Cosme , Michal Hemmerling , Ludwig Mathey , Andreas Hemmerich
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