Far-from-equilibrium dynamics of an ultracold Fermi gas

Kronenwett, Matthias; Gasenzer, Thomas

doi:10.1007/s00340-011-4426-2

Cited by 14 publications

(8 citation statements)

References 70 publications

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“…Large-N expansions provide a systematic, non-perturbative approximation which does not rely on the weakness of any interaction strength as it contains diagrams of arbitrary order in J and U [45,48,50]. They have been used to study nonequilibrium dynamics in a variety of systems such as relativistic O(N ) theories [51][52][53], ultracold Fermi [54] and Bose [55,56] gases as well as spin systems [9,46,57] and give reliable results already for small values of N [51,58].…”

Section: Model and Microscopic Field Theorymentioning

confidence: 99%

Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

Burchards¹,

Schuckert²,

Feldmeier³

et al. 2022

Preprint

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We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its applicability to the late-time dynamics of a specific bosonic quantum system by developing a microscopic non-equilibrium quantum field theory. Employing a self-consistent 1/N approximation in the number of field components, we extract all entries of a generalized diffusion matrix and determine their dependence on microscopic model parameters. We discuss the relation of our results to experiments in ultracold atom quantum simulators.

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Section: Model and Microscopic Field Theorymentioning

confidence: 99%

Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

Burchards¹,

Schuckert²,

Feldmeier³

et al. 2022

Preprint

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“…Examples include extensive studies of the O(N ) model in nonequilibrium [43][44][45], thermalization, prethermalization and non-thermal fixed points [10,22,[46][47][48], particle production, reheating and defect generation in inflationary universe models [49][50][51][52][53], and dynamics of ultracold fermionic and bosonic gases [54][55][56]. The present work is the first to utilize this powerful technique to study the far-from-equilibrium dynamics of interacting quantum spin systems.…”

Section: Introductionmentioning

confidence: 99%

Far-from-Equilibrium Field Theory of Many-Body Quantum Spin Systems: Prethermalization and Relaxation of Spin Spiral States in Three Dimensions

2015

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We study theoretically the far-from-equilibrium relaxation dynamics of spin spiral states in the three dimensional isotropic Heisenberg model. The investigated problem serves as an archetype for understanding quantum dynamics of isolated many-body systems in the vicinity of a spontaneously broken continuous symmetry. We present a field-theoretical formalism that systematically improves on mean-field for describing the real-time quantum dynamics of generic spin-1/2 systems. This is achieved by mapping spins to Majorana fermions followed by a 1/N expansion of the resulting twoparticle irreducible (2PI) effective action. Our analysis reveals rich fluctuation-induced relaxation dynamics in the unitary evolution of spin spiral states. In particular, we find the sudden appearance of long-lived prethermalized plateaus with diverging lifetimes as the spiral winding is tuned toward the thermodynamically stable ferro-or antiferromagnetic phases. The emerging prethermalized states are characterized by different bosonic modes being thermally populated at different effective temperatures, and by a hierarchical relaxation process reminiscent of glassy systems. Spin-spin correlators found by solving the non-equilibrium Bethe-Salpeter equation provide further insight into the dynamic formation of correlations, the fate of unstable collective modes, and the emergence of fluctuation-dissipation relations. Our predictions can be verified experimentally using recent realizations of spin spiral states with ultracold atoms in a quantum gas microscope [S. Hild, et al.

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“…Such approaches are common in equilibrium statistical physics, e. g. for frustrated magnets 22,23 , intermediate valence systems 24 and correlated lattice electrons 25 . However, only few applications of large-N techniques are known to us in the context of non-equilibrium physics 26 . Furthermore, the experimental realization of models with N up to 10 is possible in an ultracold atom setting 27,28 , which provides an additional motivation for the approach.…”

Section: B Semiclassics For Fermionsmentioning

confidence: 99%

Systematic large flavor fTWA approach to interaction quenches in the Hubbard model

Osterkorn,

Kehrein

2020

Preprint

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We present benchmark results for the recently introduced fermionic truncated Wigner approximation that we combine with the fermion degeneracy N as a semiclassical expansion parameter. The method is used to compute the time-evolution after an interaction quench in the two-dimensional Hubbard model starting from the noninteracting Fermi sea. Using both a numerical and a perturbative approach we show that the semiclassical dynamics is valid at least up to the prethermalization regime.

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Far-from-equilibrium dynamics of an ultracold Fermi gas

Cited by 14 publications

References 70 publications

Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

Far-from-Equilibrium Field Theory of Many-Body Quantum Spin Systems: Prethermalization and Relaxation of Spin Spiral States in Three Dimensions

Systematic large flavor fTWA approach to interaction quenches in the Hubbard model

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