Dissipative quantum dynamics of fermions in optical lattices: a slave-spin approach

Abstract

We investigate the influence of a Markovian environment on the dynamics of interacting spinful fermionic atoms in a lattice. In order to explore the physical phenomena occurring at short times, we develop a method based on a slave-spin representation of fermions which is amenable to the investigation of the dynamics of dissipative systems. We apply this approach to two different dissipative couplings which can occur in current experiments: a coupling via the local density and a coupling via the local double occupancy. We complement our study based on this novel method with results obtained using the adiabatic elimination technique and with an exact study of a two-site model. We uncover that the decoherence is slowed down by increasing either the interaction strength or the dissipative coupling (the Zeno effect). We also find, for the coupling to the local double occupancy, that the final steady state can sustain single-particle coherence.

arXiv comment16 pages, 10 figures

References in corpus (31)

• Many-Body Physics with Ultracold Gases
• An Open-System Quantum Simulator with Trapped Ions
• Quantum trajectories and open many-body quantum systems
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Algebraic versus exponential decoherence in dissipative many-particle systems
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Continuous and Pulsed Quantum Zeno Effect
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Kinetic constraints, hierarchical relaxation and onset of glassiness in strongly interacting and dissipative Rydberg gases
• Interaction-induced impeding of decoherence and anomalous diffusion
• Out-of-equilibrium structures in strongly interacting Rydberg gases with dissipation
• Beyond mean-field dynamics in open Bose-Hubbard chains
• Quantum impurity solvers using a slave rotor representation
• Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System
• Emergence of glass-like dynamics for dissipative and strongly interacting bosons
• Dissipation-induced coherent structures in Bose-Einstein condensates
• Slave spin cluster mean field theory away from half-filling: Application to the Hubbard and the extended Hubbard Model
• Heating rates for an atom in a far-detuned optical lattice
• Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes
• An atomic colour superfluid via three-body loss
• Facilitated spin models of dissipative quantum glasses
• Control of the Bose-Einstein condensate by dissipation. Nonlinear Zeno effect
• Dissipative Binding of Lattice Bosons through Distance-Selective Pair Loss
• Dissipative preparation of phase- and number-squeezed states with ultracold atoms
• Emergence of long distance pair coherence through incoherent local environmental coupling
• Nonadiabatic Transition Probabilities in the Presence of Strong Dissipation at an Avoided Level Crossing Point
• Many-body out-of-equilibrium dynamics of hard-core lattice bosons with non-local loss
• Scalable register initialization for quantum computing in an optical lattice
• Stroboscopic observation of quantum many-body dynamics

Cited by in corpus (11)

• Keldysh Field Theory for Driven Open Quantum Systems
• Quantum Measurement-induced Dynamics of Many-Body Ultracold Bosonic and Fermionic Systems in Optical Lattices
• Non-Hermitian Dynamics in the Quantum Zeno Limit
• Dynamic nuclear polarization as kinetically constrained diffusion
• Adaptive Numerical Solution of Kadanoff-Baym Equations
• Emergent kinetic constraints in open quantum systems
• Collective dynamics of multimode bosonic systems induced by weak quantum measurement
• Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Interaction-impeded relaxation in the presence of finite temperature baths
• Oscillation and decay of particle current due to a quench and dephasing in an interacting fermionic system