Driven-dissipative many-body pairing states for cold fermionic atoms in an optical lattice

Abstract

We discuss the preparation of many-body states of cold fermionic atoms in an optical lattice via controlled dissipative processes induced by coupling the system to a reservoir. Based on a mechanism combining Pauli blocking and phase locking between adjacent sites, we construct complete sets of jump operators describing coupling to a reservoir that leads to dissipative preparation of pairing states for fermions with various symmetries in the absence of direct inter-particle interactions. We discuss the uniqueness of these states, and demonstrate it with small-scale numerical simulations. In the late time dissipative dynamics, we identify a "dissipative gap" that persists in the thermodynamic limit. This gap implies exponential convergence of all many-body observables to their steady state values. We then investigate how these pairing states can be used as a starting point for the preparation of the ground state of Fermi-Hubbard Hamiltonian via an adiabatic state preparation process also involving the parent Hamiltonian of the pairing state. We also provide a proof-of-principle example for implementing these dissipative processes and the parent Hamiltonians of the pairing states, based on Yb171 atoms in optical lattice potentials.

as published in the focus issue on Bose Condensation Phenomena in Atomic and Solid State Physics, New J. Phys. 14 (2012)

References in corpus (17)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Sr lattice clock at 1x10^{-16} fractional uncertainty by remote optical evaluation with a Ca clock
• Topology by Dissipation in Atomic Quantum Wires
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Quantum computing with alkaline earth atoms
• Atomic three-body loss as a dynamical three-body interaction
• Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System
• Quantum Computing and Quantum Simulation with Group-II Atoms
• d-wave resonating valence bond states of fermionic atoms in optical lattices
• Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
• Sideband cooling while preserving coherences in the nuclear spin state in group-II-like atoms
• Spatial Pauli-blocking of spontaneous emission in optical lattices

Cited by in corpus (33)

• Quantum trajectories and open many-body quantum systems
• Symmetries and conserved quantities in Lindblad master equations
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
• Two-time Correlations Probing the Dynamics of Dissipative Many-Body Quantum Systems: Aging and Fast Relaxation
• Universality in driven open quantum matter
• Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law
• Spatial correlations of one dimensional driven-dissipative systems of Rydberg atoms
• Thermalization and Heating Dynamics in Open Generic Many-Body Systems
• Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice
• Effective quantum Zeno dynamics in dissipative quantum systems
• Reservoir spectroscopy of 5s5p ${}^3$P${}_2$ - 5s$n$d ${}^3$D${}_{1,2,3}$ transitions in strontium
• Out-of-equilibrium evolution of kinetically constrained many-body quantum systems under purely dissipative dynamics
• Steady state properties of a driven atomic ensemble with non-local dissipation
• Superior memory efficiency of quantum devices for the simulation of continuous-time stochastic processes
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Stabilizing volume-law entangled states of fermions and qubits using local dissipation
• Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits
• Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model
• Quantum measurement-induced antiferromagnetic order and density modulations in ultracold Fermi gases in optical lattices
• Interplay of interaction and disorder in the steady state of an open quantum system
• Quantum Quasi-Zeno Dynamics: Transitions mediated by frequent projective measurements near the Zeno regime
• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model
• Dissipative dynamics and cooling rates of trapped impurity atoms immersed in a reservoir gas
• Controlling the dynamics of atomic correlations via the coupling to a dissipative cavity
• Dissipative generation of pure steady states and a gambler's ruin problem
• Lie-algebraic approach to one-dimensional translationally invariant free-fermionic dissipative systems
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Switching pure states of the dissipative Heisenberg XXZ chain by local magnetic fields
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments