Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
arXiv:1405.5036 · doi:10.1103/PhysRevA.90.033612
Abstract
We study a dissipative Bose-Hubbard chain subject to an engineered bath using a superoperator approach based on matrix product operators. The dissipation is engineered to stabilize a BEC condensate wave function in its steady state. We then characterize the steady state emerging from the interplay between incompatible Hamiltonian and dissipative dynamics. While it is expected that interactions lead to this competition, even the kinetic energy in an open boundary condition setup competes with the dissipation, leading to a non-trivial steady state. We also present results for the transient dynamics and probe the relaxation time revealing the closing of the dissipative gap in the thermodynamic limit.
9 pages, 13 figures
References in corpus (15)
- Many-Body Physics with Ultracold Gases
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- An Open-System Quantum Simulator with Trapped Ions
- Quantum trajectories and open many-body quantum systems
- Dissipative Phase Transition in Central Spin Systems
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
- Atomic three-body loss as a dynamical three-body interaction
- Operator space entanglement entropy in transverse Ising chain
- Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
- Dark state cooling of atoms by superfluid immersion
- Complexity of thermal states in quantum spin chains
- Dissipation-driven quantum phase transitions in collective spin systems
- Dissipation-driven phase transition in 2D Josephson arrays
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- Damping transition in an open generalized Aubry-André-Harper model
- Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
- Measurement-Induced Spectral Transition
- Manipulating the Relaxation Time of Boundary-Dissipative Systems through Bond Dissipation
- Oscillating-mode gap: an indicator of phase transition in open quantum many-body systems
- Tensor-network-based variational Monte Carlo approach to the non-equilibrium steady state of open quantum systems