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

W. Yi, S. Diehl, A. J Daley, P. Zoller

Research output: Contribution to journalArticle

22 Citations (Scopus)

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 the 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 171Yb atoms in optical lattice potentials.

LanguageEnglish
Article number055002
Number of pages35
JournalNew Journal of Physics
Volume14
DOIs
Publication statusPublished - 1 May 2012
Externally publishedYes

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preparation
atoms
particle interactions
uniqueness
locking
fermions
operators
thermodynamics
ground state
symmetry
simulation

Keywords

  • fermionic atoms
  • optical lattice

Cite this

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Driven-dissipative many-body pairing states for cold fermionic atoms in an optical lattice. / Yi, W.; Diehl, S.; J Daley, A.; Zoller, P.

In: New Journal of Physics, Vol. 14, 055002, 01.05.2012.

Research output: Contribution to journalArticle

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