Nonequilibrium phase diagram of a driven and dissipative many-body system

2010/11/14 by Andrea Tomadin, Sebastian Diehl, Peter Zoller +1 · 6 citations
Mathematics · Physics and Astronomy · #Boson #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Diagonal #Dissipation #Dissipative system #Instability #Master equation #Mathematics #Non-equilibrium thermodynamics #Phase (matter) #Phase diagram #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Statistical physics #Steady state (chemistry) #Strong Light-Matter Interactions #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.83.013611

23 pages, 15 figures

arxiv created 2010/11/14 · openalex publication_date 2011/01/18 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field approximation for density matrices. The dissipative processes are engineered such that the system, in the absence of interaction between the bosons, is driven into a homogeneous steady state with off-diagonal long-range order. We investigate how the coherent interaction affects the properties of the steady state of the system qualitatively and derive a nonequilibrium phase diagram featuring a phase transition into a steady state without long-range order. The phase diagram also exhibits an extended domain where an instability of the homogeneous steady state gives rise to a persistent density pattern with spontaneously broken translational symmetry. In the limit of low particle density, we provide a precise analytical description of the time evolution during the instability. Moreover, we investigate the transient following a quantum quench of the dissipative processes and we elucidate the prominent role played by collective topological variables in this regime.

Citations

• Dynamical selection in developing fermionic pairing
• Fate of the false vacuum: Semiclassical theory
• Quench dynamics near a quantum critical point
• Josephson Junction Arrays with Bose-Einstein Condensates
• Many Body Generalization of the Landau-Zener Problem
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates
• Collective coherence in planar semiconductor microcavities
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Superfluid-Insulator Transition in a Moving System of Interacting Bosons
• Strong Dissipation Inhibits Losses and Induces Correlations in Cold Molecular Gases
• Bose–Einstein condensation of exciton polaritons
• Dynamics of Bose-Einstein condensates in optical lattices
• Spontaneous vortices in the formation of Bose–Einstein condensates
• Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Quench dynamics across quantum critical points
• The cold atom Hubbard toolbox

Cited by

• Matrix-product-operator approach to the nonequilibrium steady state of driven-dissipative quantum arrays
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Emergent finite frequency criticality of driven-dissipative correlated lattice bosons
• Quantum phase transition in an array of coupled dissipative cavities

Related

• Signatures of a quantum phase transition on a single-mode bosonic model
• Dissipative Dynamics and Symmetry Breaking in Bosonic Sachdev-Ye-Kitaev Lindbladian
• Non-equilibrium dynamics of many body quantum systems
• Characterizing the Nonequilibrium Dynamics of Field-Driven Correlated Quantum Systems
• Chaotic and quantum dynamics in driven-dissipative bosonic chains