Effects of Dephasing on Quantum Adiabatic Pumping with Nonequilibrium Initial States

Abstract

Thouless's quantum adiabatic pumping is of fundamental interest to condensed-matter physics. It originally considered a zero-temperature equilibrium state uniformly occupying all the bands below a Fermi surface. In the light of recent direct simulations of Thouless's concept in cold-atom systems, this work investigates the dynamics of quantum adiabatic pumping subject to dephasing, for rather general initial states with nonuniform populations and possibly interband coherence. Using a theory based on pure-dephasing Lindblad evolution, we find that the pumping is contributed by two parts of different nature, a dephasing-modified geometric part weighted by initial Bloch state populations, and an interband-coherence-induced part compromised by dephasing, both of them being independent of the pumping time scale. The overall pumping reflects an interplay of the band topology, initial state populations, initial state coherence, and dephasing. Theoretical results are carefully checked in a Chern insulator model coupled to a pure-dephasing environment, providing a useful starting point to understand and coherently control quantum adiabatic pumping in general situations.

main text of 11 pages and appendix of 9 pages, comments are most welcome

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Cited by in corpus (13)

• Observation of anomalous π modes in photonic Floquet engineering
• Experimental Observation of a Generalized Thouless Pump with a Single Spin
• Topological pumping of photons in nonlinear resonator arrays
• Multi-particle Wannier states and Thouless pumping of interacting bosons
• Interaction Induced Topological Charge Pump
• Finite-time Landau-Zener processes and counter-diabatic driving in open systems: beyond Born, Markov and Rotating-wave approximations
• Topological pumping of quantum correlations
• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• Dissipation assisted Thouless pumping in the Rice-Mele model
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Topological Thouless pumping in arrays of coupled spin chains
• Revealing many-body effects on interband coherence through adiabatic charge pumping
• Dynamical Weyl Points and 4D Nodal Rings in Cold Atomic Gases