Interaction-induced decoherence in non-Hermitian quantum walks of ultracold Bosons
arXiv:1205.4511 · doi:10.1103/PhysRevA.86.025601
Abstract
We study the influence of particle interaction on a quantum walk on a bipartite one-dimensional lattice with decay from every second site. The corresponding non-interacting (linear) system has been shown to have a topological transition described by the average displacement before decay. Here we use this topological quantity to distinguish coherent quantum dynamics from incoherent classical dynamics caused by a breaking of the translational symmetry. We furthermore analyze the behavior by means of a rate equation providing a quantitative description of the incoherent nonlinear dynamics.
arXiv commentRevised and extended version, 5 pages, 5 figures
References in corpus (20)
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Topology by Dissipation in Atomic Quantum Wires
- Topological Transition in a Non-Hermitian Quantum Walk
- Fractional Quantum Hall Effect in Optical Lattices
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
- Dissipation induced coherence of a two-mode Bose-Einstein condensate
- Solitons in a chain of PT-invariant dimers
- Disordered quantum walk-induced localization of a Bose-Einstein condensate
- Complex scaling approach to the decay of Bose-Einstein condensates
- Quantum walks and quantum simulations with Bloch oscillating spinor atoms
- Barrier transmission for the one-dimensional nonlinear Schrödinger equation: resonances and transmission profiles
- Nonexponential decay of Bose-Einstein condensates: a numerical study based on the complex scaling method
- Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices
- Damped Bloch oscillations of cold atoms in optical lattices
- Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
- Topological quantum phase transition in the BEC-BCS crossover phenomena
- Exceptional points in bichromatic Wannier-Stark systems
- Particle injection into a chain: decoherence versus relaxation for Hermitian and non-Hermitian dynamics
Cited by in corpus (5)
- Topological bound states of a quantum walk with cold atoms
- Topological transport in the steady state of a quantum particle with dissipation
- Non-Hermitian Model for Asymmetrical Tunneling
- Closed system approach to open systems: Tunneling decay of interacting cold bosons in an optical lattice
- Quantum transport in nonlinear Rudner-Levitov models