Expansion dynamics of the Fulde-Ferrell-Larkin-Ovchinnikov state

Abstract

We consider a two-component Fermi gas in the presence of spin imbalance, modeling the system in terms of a one-dimensional attractive Hubbard Hamiltonian initially in the presence of a confining trap potential. With the aid of the time-evolving block decimation method, we investigate the dynamics of the initial state when the trap is switched off. We show that the dynamics of a gas initially in the Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) state is decomposed into the independent expansion of two fluids, namely the paired and the unpaired particles. In particular, the expansion velocity of the unpaired cloud is shown to be directly related to the FFLO momentum. This provides an unambiguous signature of the FFLO state in a remarkably simple way.

arXiv commentSupplementary material included

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Cited by in corpus (28)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
• Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
• Dynamics of an impurity in a one-dimensional lattice
• Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases
• Expansion of 1D polarized superfluids: The FFLO state reveals itself
• Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Fulde-Ferrell--Larkin-Ovchinnikov state in the dimensional crossover between one- and three-dimensional lattices
• Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Population imbalance in the extended Fermi-Hubbard model
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• FFLO correlation and free fluids in the one-dimensional attractive Hubbard model
• Pure Fulde-Ferrell-Larkin-Ovchinnikov state in optical lattices
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Holographic entanglement entropy in imbalanced superconductors
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Universal thermodynamics of the one-dimensional attractive Hubbard model
• Do phase fluctuations influence the Fulde-Ferrell-Larkin-Ovchinnikov state in a 3D Fermi gas?
• Spin incoherent liquid and interaction-driven criticality in 1D Hubbard model
• Lifshitz tricritical point and its relation to the FFLO superconducting state
• Unconventional pairing in few-fermion systems tuned by external confinement