Bosonic transport through a chain of quantum dots

Abstract

The particle transport through a chain of quantum dots coupled to two bosonic reservoirs is studied. For the case of reservoirs of non-interacting bosonic particles, we derive an exact set of stochastic differential equations, whose memory kernels and driving noise are characterised entirely by the properties of the reservoirs. Going to the Markovian limit an analytically solvable case is presented. The effect of interparticle interactions on the transient behaviour of the system, when both reservoirs are instantaneously coupled to an empty chain of quantum dots, is approximated by a semiclassical method, known as the Truncated Wigner approximation. The steady-state particle flow through the chain and the mean particle occupations are explained via the spectral properties of the interacting system.

7 pages, 4 figures

References in corpus (7)

• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
• Transient dynamics of the Anderson impurity model out of equilibrium
• Decay and fragmentation in an open Bose-Hubbard chain
• Fast transport, atom sample splitting, and single-atom qubit supply in two-dimensional arrays of optical microtraps
• Controlling Transport of Ultra-Cold Atoms in 1D Optical Lattices with Artificial Gauge Fields

Cited by in corpus (28)

• Atomtronic circuits: from many-body physics to quantum technologies
• Negative differential conductivity in an interacting quantum gas
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Non-equilibrium dynamics in dissipative Bose-Hubbard chains
• Nonequilibrium relaxation transport of ultracold atoms
• Transport with ultracold atoms at constant density
• Landauer-Büttiker equation for bosonic carriers
• Perspective on new implementations of atomtronic circuits
• Thermoelectricity in a junction between interacting cold atomic Fermi gases
• The open Bose-Hubbard chain: Pseudoclassical approach
• Spectral analysis of two-dimensional Bose-Hubbard models
• Describing many-body bosonic waveguide scattering with the truncated Wigner method
• Coherent state path integrals in the continuum
• Non-interacting many-particle quantum transport between finite reservoirs
• Open Fermi-Hubbard model: Landauer's vs. master equation approaches
• Resonant transport of bosonic carriers through a quantum device
• A study of one-dimensional transport of Bose-Einstein condensates using exterior complex scaling
• Resonant transmission of fermionic carriers: comparison between solid-state physics and quantum optics approaches
• Models for a multimode bosonic tunneling junction
• Emergence of a Renormalized $1/N$ Expansion in Quenched Critical Many-Body Systems
• Quantum corrections of the truncated Wigner approximation applied to an exciton transport model
• Two-Time Correlation Functions in Dissipative and Interacting Bose-Hubbard Chains
• On the reduced dynamics of a subset of interacting bosonic particles
• Ballistic transport of interacting Bose particles in the tight-binding chain
• Decay of symmetry-protected quantum states
• Third quantization with Hartree approximation for open-system bosonic transport
• Quantum transport in the flux rhombic lattice
• Quantum transport between finite reservoirs