Dissipation Induced Nonstationarity in a Quantum Gas.

  title={Dissipation Induced Nonstationarity in a Quantum Gas.},
  author={Berislav Bu{\vc}a and Dieter Jaksch},
  journal={Physical review letters},
  volume={123 26},
Nonstationary longtime dynamics was recently observed in a driven two-component Bose-Einstein condensate coupled to an optical cavity [N. Dogra, M. Landini, K. Kroeger, L. Hruby, T. Donner, and T. Esslinger, arXiv:1901.05974] and analyzed in mean-field theory. We solve the underlying model in the thermodynamic limit and show that this system is always dynamically unstable-even when mean-field theory predicts stability. Instabilities always occur in higher-order correlation functions leading to… 

Figures from this paper

Non-stationarity and dissipative time crystals: spectral properties and finite-size effects

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,

Quantum dynamics of dissipative Kerr solitons

Dissipative Kerr solitons arising from parametric gain in ring microresonators are usually described within a classical mean-field framework. Here, we develop a quantum-mechanical model of

Dissipative time crystal in an asymmetric nonlinear photonic dimer

We investigate the behavior of two coupled nonlinear photonic cavities, in the presence of inhomogeneous coherent driving and local dissipations. By solving numerically the quantum master equation,

Dissipative Distillation of Supercritical Quantum Gases.

It is shown that by increasing the strength of the dissipation it is even possible to produce condensates above the critical temperature, and it is demonstrated that out-of-equilibrium samples are long lived and do not reach equilibrium in a time that is accessible for the authors' experiment.

University of Birmingham Dissipative distillation of supercritical quantum gases

We experimentally realize a method to produce non-equilibrium Bose Einstein condensates with condensed fraction exceeding those of equilibrium samples with the same parameters. To do this, we immerse

A dissipative time crystal with or without Z2 symmetry breaking

We study an emergent semiclassical time crystal composed of two interacting driven-dissipative bosonic modes. The system has a discrete Z2 spatial symmetry which, depending on the strength of the

Exact multistability and dissipative time crystals in interacting fermionic lattices

The existence of multistability in quantum systems beyond the mean-field approximation remains an intensely debated open question. Quantum fluctuations are finite-size corrections to the mean-field

Isolated Heisenberg magnet as a quantum time crystal

Local observables of closed many-body quantum systems are generally believed to quickly equilibrate after a quench, according to the eigenstate thermalization hypothesis. Here, the authors show that

Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.

These time crystals arise only from the Floquet dynamical symmetry and thus appear in both dissipative and isolated systems and in the presence of disorder as long as the FDS is respected, and their experimental realizations in cold atom experiments are discussed.

Collective dynamics of the unbalanced three-level Dicke model

We investigate a system of V-typed three-level atoms interacting with a single-mode cavity field. With independently tunable co- and counter-rotating coupling strength of the interaction Hamiltonian,



Dissipation-Induced Instabilities of a Spinor Bose-Einstein Condensate Inside an Optical Cavity.

We investigate the dynamics of a spinor Bose-Einstein condensate inside an optical cavity, driven transversely by a laser with a controllable polarization angle. We focus on a two-component Dicke

Driven Bose-Hubbard dimer under nonlocal dissipation: A bistable time crystal

We investigate the critical behavior of the open coherently-driven Bose-Hubbard dimer under nonlocal dissipation. A conserved quantity arises from the nonlocal nature of the dissipation, rendering

Shattered time: can a dissipative time crystal survive many-body correlations?

We investigate the emergence of a time crystal (TC) in a driven dissipative many-body spin array. In this system the interplay between incoherent spin pumping and collective emission stabilizes a

Constructing the generalized Gibbs ensemble after a quantum quench.

A general construction is exhibited of the thermodynamic ensemble that has been suggested to govern this dynamics, the generalized Gibbs ensemble, and the predictions of equilibration from this ensemble are compared against the long time dynamics observed using this method.

Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.

A phenomenology of dissipative discrete time crystals is established by generalizing the Landau theory of phase transitions to Floquet open systems and finding clear signatures of a transient discrete time-crystalline behavior, which is absent in the isolated counterpart.

Driven-dissipative quantum dynamics in ultra-long-lived dipoles in an optical cavity

We study the quantum dynamics of many-body arrays of two-level atoms in a driven cavity subject to collective decay and interactions mediated by the cavity field. We work in the bad cavity limit

Dephasing and the steady state in quantum many-particle systems.

It follows further that, after a quench of system parameters, entanglement entropy will become extensive and this provides a way of creating strongEntanglement in a controlled fashion.

Non-stationary coherent quantum many-body dynamics through dissipation

Conditions under which dissipation prevents quantum many-body systems from reaching a steady state are identified and they instead exhibit coherent oscillations, a dissipative version of a quantum time crystal.

Emergent limit cycles and time crystal dynamics in an atom-cavity system

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

Periodic thermodynamics of isolated quantum systems.

It is analytically show that, for a class of integrable systems, the relevant ensemble is constructed by maximizing an appropriately defined entropy subject to constraints, which is explicitly identified.