Non-equilibrium dynamics in dissipative Bose-Hubbard chains

Abstract

Open many-body quantum systems have recently gained renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. A series of results in diverse setups is presented, based on a Master equation approach to describe the dissipative dynamics of ultracold bosons in a one-dimensional lattice. The creation of mesoscopic stable many-body structures in the lattice is predicted and the non-equilibrium transport of neutral atoms in the regime of strong and weak interactions is studied.

invited paper to special issue of Annals of Physics

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Cited by in corpus (32)

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• Quantum entanglement and the Born-Markov approximation for an open quantum system
• Caustics in quantum many-body dynamics
• NOON States via Quantum Walk of Bound Particles
• The open Bose-Hubbard chain: Pseudoclassical approach
• Non-linear transport in an out-of-equilibrium single-site Bose Hubbard model: scaling, rectification and time dynamics
• Tailoring the thermalization time of a cavity-field using distinct atomic reservoirs
• Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model
• Pseudo steady-state non-Gaussian EPR-steering of massive particles in pumped and damped Bose-Hubbard dimers
• Geometry-induced circulation of local photonic transport in a triangular metastructure
• Open Fermi-Hubbard model: Landauer's vs. master equation approaches
• Resonant transport of bosonic carriers through a quantum device
• Bosonic Josephson effect in the Fano-Anderson model
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• A quantum correlated twin atom laser from a Bose-Hubbard system
• Non-equilibrium steady states and critical slowing down in the dissipative Bose-Hubbard model
• Models for a multimode bosonic tunneling junction
• Finite size effects and equilibration in Bose-Hubbard chains with central well dephasing
• On optimal currents of indistinguishable particles
• Quantum behaviour of open pumped and damped Bose-Hubbard trimers
• Nonequilibrium Transport in a Superfluid Josephson Junction Chain: Is There Negative Differential Conductivity?
• Generalization of the Landauer-Büttiker theory onto the case of dissipative contacts
• Dissipative chaos and steady state of open Tavis-Cummings dimer
• Effects of internal and external decoherence on the resonant transport and Anderson localization of fermionic particles in the tight-binding chain
• Quantum behaviour of pumped and damped triangular Bose Hubbard systems
• Interacting bosons in two-dimensional lattices with localized dissipation
• Decay of symmetry-protected quantum states
• Quantum transport in the flux rhombic lattice
• Third quantization with Hartree approximation for open-system bosonic transport