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We discuss the emergence of non-stationarity in open quantum many-body systems. This leads us to the definition of dissipative time crystals which display experimentally observable, persistent, time-periodic oscillations induced by noisy…

Quantum Physics · Physics 2022-11-28 Cameron Booker , Berislav Buča , Dieter Jaksch

We propose, formulate and examine novel quantum systems and behavioral phases in which momentary choices of the system's memories interact in order to source the internal interactions and unitary time evolutions of the system. In a closed…

Quantum Physics · Physics 2023-05-17 Alireza Tavanfar , Aliasghar Parvizi , Marco Pezzutto

We develop a resonance theory to describe the evolution of open systems with time-dependent dynamics. Our approach is based on piecewise constant Hamiltonians: we represent the evolution on each constant bit using a recently developed…

Mathematical Physics · Physics 2011-08-25 Marco Merkli , Shannon Starr

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…

Quantum Physics · Physics 2025-05-13 Shu Yang , Zeqing Wang , Libin Fu , Jianwen Jie

It has been argued that the existence of time crystals requires a spontaneous breakdown of the continuous time translation symmetry so to account for the unexpected non-stationary behavior of quantum observables in the ground state. Our…

Quantum Physics · Physics 2022-11-23 Alex E. Bernardini , Orfeu Bertolami

Periodically driven dynamics of open quantum systems is very interesting because typically non-equilibrium steady state is reached, which is characterized by a non-vanishing current. In this work, we study time discrete and periodically…

Quantum Physics · Physics 2021-07-19 Yong-Nan Sun , Kimmo Luoma , Zhao-Di Liu , Jyrki Piilo , Chuan-Feng Li , Guang-Can Guo

The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is…

While a generic open quantum system decays to its steady state, continuous time crystals (CTCs) develop spontaneous oscillation and never converge to a stationary state. Just as crystals develop correlations in space, CTCs do so in time.…

Quantum Physics · Physics 2025-10-23 Parvinder Solanki , Fabrizio Minganti

We establish a link between metastability and a discrete time-crystalline phase in a periodically driven open quantum system. The mechanism we highlight requires neither the system to display any microscopic symmetry nor the presence of…

Statistical Mechanics · Physics 2019-01-10 F. M. Gambetta , F. Carollo , M. Marcuzzi , J. P. Garrahan , I. Lesanovsky

We study the critical behavior of the nonequilibrium dynamics and of the steady states emerging from the competition between coherent and dissipative dynamics close to quantum phase transitions. The latter is induced by the coupling of the…

Statistical Mechanics · Physics 2019-11-26 Davide Rossini , Ettore Vicari

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

Open many-body quantum systems can exhibit intriguing nonequilibrium phases of matter, such as time crystals. In these phases, the state of the system spontaneously breaks the time-translation symmetry of the dynamical generator, which…

Time crystals in periodically driven systems have initially been studied assuming either the ability to quench the Hamiltonian between different many-body regimes, the presence of disorder or long-range interactions. Here we propose the…

We theoretically consider the temporal dynamics of two coupled spin qubits (e.g., semiconductor quantum dots) driven by the inter-qubit spin-spin coupling. The presence of environmental noise (e.g., charge traps, nuclear spins, random…

Mesoscale and Nanoscale Physics · Physics 2016-07-29 S. Das Sarma , Robert E. Throckmorton , Yang-Le Wu

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…

Quantum Physics · Physics 2024-12-05 Yaohua Li , Chenyang Wang , Yuanjiang Tang , Yong-Chun Liu

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…

Systems with nonreciprocal interactions generically display time-dependent states. These are routinely observed in finite systems, from neuroscience to active matter, in which globally ordered oscillations exist. However, the stability of…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

We consider the out-of-equilibrium dynamics generated by joining two domains with arbitrary opposite magnetisations. We study the stationary state which emerges by the unitary evolution via the spin $1/2$ XXZ Hamiltonian, in the gapless…

Statistical Mechanics · Physics 2018-03-07 Mario Collura , Andrea De Luca , Jacopo Viti

We report the experimental observation of a square crystalline phase in a vibrated binary mixture of spherical grains. This structure spontaneously forms from a disordered state, consistently with predictions obtained in an equilibrium…

Soft Condensed Matter · Physics 2025-12-09 A. Plati , R. Maire , F. Boulogne , F. Restagno , F. Smallenburg , G. Foffi

We study the behavior of Quantum Darwinism (Zurek, [8]) within the iterative, random unitary operations qubit-model of pure decoherence (Novotny et al, [6]). We conclude that Quantum Darwinism, which describes the quantum mechanical…

Quantum Physics · Physics 2015-10-09 Nenad Balaneskovic
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