Dissipative preparation of many-body Floquet Chern insulators

Abstract

Considering coupling to a micro-structured bath as a relaxation mechanism in a periodically driven dissipative Haldane model, we establish that the system may be tuned to a stroboscopic topological steady state at all finite temperatures. The amplitude and frequency of the periodic drive is so chosen that the Floquet Hamiltonian describing the Haldane model at stroboscopic instants of time in the unitary situation is topologically non-trivial. We establish that in the stroboscopic steady state, the system reaches a thermal state of the Floquet Hamiltonian at a controlled temperature. Further, it is observed that even with a coupling to a quasi-local bath, remarkably a Chern insulator can indeed be prepared in a Chern non-trivial pure steady state which is expected to exhibit a stroboscopic bulk-boundary correspondence. Using the non-uniqueness of the macroscopic bulk electric polarisation of a Chern insulator in its topological phase, we propose a generalised Chern invariant that reflects the topology of out-of-equilibrium many-body stroboscopic states of the Haldane model even in a dissipative ambience. The generalised topology of dynamical Chern insulators being dependent on single-particle correlations, is expected to manifest in experiments probing many-body quantum observables.

17 page, 6 figures, text overlap in the appendix with arXiv: 2005.01455, text modified, new citations added

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• Driven quantum many-body systems and out-of-equilibrium topology
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Dissipative Boundary State Preparation
• Dissipative preparation of fractional Chern insulators
• Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation
• Interferometric geometry from symmetry-broken Uhlmann gauge group with applications to topological phase transitions
• Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Diffusive modes of two-band fermions under number-conserving dissipative dynamics
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Signatures of quantum phases in a dissipative system
• Feedback cooling of fermionic atoms in optical lattices