We revisit early suggestions to observe spin-charge separation (SCS) in cold-atom settings {in the time domain} by studying one-dimensional repulsive Fermi gases in a harmonic potential, where pulse perturbations are initially created at the center of the trap. We analyze the subsequent evolution using generalized hydrodynamics (GHD), which provides an exact description, at large space-time scales, for arbitrary temperature $T$, particle density, and interactions. At $T=0$ and vanishing magnetic field, we find that, after a nontrivial transient regime, spin and charge dynamically decouple up to perturbatively small corrections which we quantify. In this limit, our results can be understood based on a simple phase-space hydrodynamic picture. At finite temperature, we solve numerically the GHD equations, showing that for low $T>0$ effects of SCS survive and {characterize} explicitly the value of $T$ for which the two distinguishable excitations melt.

Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics / Scopa, Stefano; Calabrese, Pasquale; Piroli, Lorenzo. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 104:11(2021), pp. 1-11. [10.1103/PhysRevB.104.115423]

Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics

Stefano Scopa
;
Pasquale Calabrese;Lorenzo Piroli
2021-01-01

Abstract

We revisit early suggestions to observe spin-charge separation (SCS) in cold-atom settings {in the time domain} by studying one-dimensional repulsive Fermi gases in a harmonic potential, where pulse perturbations are initially created at the center of the trap. We analyze the subsequent evolution using generalized hydrodynamics (GHD), which provides an exact description, at large space-time scales, for arbitrary temperature $T$, particle density, and interactions. At $T=0$ and vanishing magnetic field, we find that, after a nontrivial transient regime, spin and charge dynamically decouple up to perturbatively small corrections which we quantify. In this limit, our results can be understood based on a simple phase-space hydrodynamic picture. At finite temperature, we solve numerically the GHD equations, showing that for low $T>0$ effects of SCS survive and {characterize} explicitly the value of $T$ for which the two distinguishable excitations melt.
104
11
1
11
115423
10.1103/PhysRevB.104.115423
http://arxiv.org/abs/2105.12649v2
Scopa, Stefano; Calabrese, Pasquale; Piroli, Lorenzo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/128397
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