Beyond mean-field dynamics in open Bose-Hubbard chains

Abstract

We investigate the effects of phase noise and particle loss on the dynamics of a Bose-Einstein condensate in an optical lattice. Starting from the many-body master equation, we discuss the applicability of generalized mean-field approximations in the presence of dissipation as well as methods to simulate quantum effects beyond mean-field by including higher-order correlation functions. It is shown that localized particle dissipation leads to surprising dynamics, as it can suppress decay and restore the coherence of a Bose-Einstein condensate. These effects can be applied to engineer coherent structures such as stable discrete breathers and dark solitons.

7 pages, 6 figure

References in corpus (32)

• Cold bosonic atoms in optical lattices
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Preparation of Entangled States by Quantum Markov Processes
• Quantum entanglement in photosynthetic light harvesting complexes
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Atomic three-body loss as a dynamical three-body interaction
• Condensates beyond mean field theory: quantum backreaction as decoherence
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Noise Thermometry with Two Weakly Coupled Bose-Einstein Condensates
• Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
• Bose-Einstein condensate in a double-well potential as an open quantum system
• Dissipation induced coherence of a two-mode Bose-Einstein condensate
• Cold, dilute, trapped bosons as an open quantum system
• Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
• Dissipation-induced coherent structures in Bose-Einstein condensates
• Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
• Pfaffian State Generation by Strong 3-Body Dissipation
• Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
• An atomic colour superfluid via three-body loss
• Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation
• Dissipation induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
• Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
• Transfer of BECs through discrete breathers in an optical lattice
• Chaotic ratchet dynamics with cold atoms in a pair of pulsed optical lattices
• Discrete breathers in classical spin lattices
• Avalanches of Bose-Einstein Condensates in Leaking Optical Lattices

Cited by in corpus (72)

• Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Quantum trajectories and open many-body quantum systems
• Controlling the dynamics of an open many-body quantum system with localized dissipation
• Non-equilibrium steady-states in a driven-dissipative superfluid
• Interaction-induced impeding of decoherence and anomalous diffusion
• Negative differential conductivity in an interacting quantum gas
• Coherent perfect absorption of nonlinear matter waves
• Single atom detection in ultracold quantum gases: a review of current progress
• Ultracold quantum wires with localized losses: many-body quantum Zeno effect
• Two-time Correlations Probing the Dynamics of Dissipative Many-Body Quantum Systems: Aging and Fast Relaxation
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Quantum master equation with balanced gain and loss
• Macroscopic Zeno effect and stationary flows in nonlinear waveguides with localized dissipation
• A solvable family of driven-dissipative many-body systems
• Eigenvalue structure of a Bose-Einstein condensate in a PT-symmetric double well
• Parity-time symmetric coupled asymmetric dimers
• Localization in open quantum systems
• Dissipation induced macroscopic entanglement in an open optical lattice
• Decay and fragmentation in an open Bose-Hubbard chain
• Non-equilibrium dynamics in dissipative Bose-Hubbard chains
• Tunneling decay of two interacting bosons in an asymmetric double-well potential: A spectral approach
• Nonlinear quantum dynamics in a PT-symmetric double well
• Dissipation through localised loss in bosonic systems with long-range interactions
• Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
• Non-equilibrium metastable state in a chain of interacting spinless fermions with localized loss
• Bose Hubbard model far from equilibrium
• Spectral singularities in PT-symmetric Bose-Einstein condensates
• Symmetry-protected transport through a lattice with a local particle loss
• The Bose-Hubbard model with localized particle losses
• Synthesizing Lattice Structure in Phase Space
• Quantum fluctuations of the center-of-mass and relative parameters of NLS breathers
• Cusp bifurcation in the eigenvalue spectrum of PT-symmetric Bose-Einstein condensates
• Nonlinear transport in the presence of a local dissipation
• Scaling behavior and phase diagram of a PT-symmetric non-Hermitian Bose-Hubbard system
• Purity oscillations in Bose-Einstein condensates with balanced gain and loss
• Dynamics of entanglement in a dissipative Bose-Hubbard dimer
• The nature of self-localization of Bose-Einstein condensates in deep optical lattices
• Landauer-Büttiker equation for bosonic carriers
• Bose-Einstein condensates with balanced gain and loss beyond mean-field theory
• Global Phase Space of Coherence and Entanglement in a double-well BEC
• Stationary discrete solitons in circuit QED
• Scanning electron microscopy of cold gases
• Dissipative quantum dynamics of fermions in optical lattices: a slave-spin approach
• Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
• Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices
• Boltzmann relaxation dynamics in the strongly interacting Fermi-Hubbard model
• Coherent state path integrals in the continuum
• Computation of the asymptotic states of modulated open quantum systems with a numerically exact realization of the quantum trajectory method
• The BBGKY hierarchy for ultracold bosonic systems: II. Applications
• Stability analysis and attractor dynamics of 3D dark solitons with localized dissipation
• Stationary states in the many-particle description of Bose-Einstein condensates with balanced gain and loss
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Non-hermitian approach to decaying ultracold bosonic systems
• Bistability and nonequilibrium condensation in a driven-dissipative Josephson array: a c-field model
• Coherent control of dissipative dynamics in a periodically driven lattice array
• Escape dynamics of Bose-Hubbard dimer out of a trap
• PT-symmetric gain and loss in a rotating Bose-Einstein condensate
• Non-equilibrium steady states and critical slowing down in the dissipative Bose-Hubbard model
• $\mathcal{P}\mathcal{T}$-symmetric currents of a Bose-Einstein condensate in a triple well
• Quantum wires with local particle loss: Transport manifestations of fluctuation-induced effects
• Off-resonant many-body quantum carpets in strongly tilted optical lattices
• Emergence of a Renormalized $1/N$ Expansion in Quenched Critical Many-Body Systems
• Three perspectives on entropy dynamics in a non-Hermitian two-state system
• Stochastic resonance driven by quantum shot noise in superradiant Raman scattering
• Two-Time Correlation Functions in Dissipative and Interacting Bose-Hubbard Chains
• State engineering of Bose-Einstein condensate in the optical lattice by a periodic sublattice of dissipative sites
• Asymmetric many-body loss in a bosonic double well
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Shape effects of localized losses in quantum wires: dissipative resonances and nonequilibrium universality
• Pitfalls in the theory of carrier dynamics in semiconductor quantum dots: the single-particle basis vs. the many-particle configuration basis
• Exact $\mathcal{N}$-point function mapping between pairs of experiments with Markovian open quantum systems