Universality in the full counting statistics of trapped fermions

Abstract

We study the distribution of particle number in extended subsystems of a one-dimensional non-interacting Fermi gas confined in a potential well at zero temperature. Universal features are identified in the scaled bulk and edge regions of the trapped gas where the full counting statistics are given by the corresponding limits of the eigenvalue statistics in Gaussian unitary random matrix ensembles. The universal limiting behavior is confirmed by the bulk and edge scaling of the particle number fluctuations and the entanglement entropy.

5 pages, 4 figures, published version

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Bipartite Fluctuations as a Probe of Many-Body Entanglement
• Full counting statistics in a propagating quantum front and random matrix spectra
• The entanglement entropy of one-dimensional gases
• Exact relations between particle fluctuations and entanglement in Fermi gases
• Electron Waiting Times in Mesoscopic Conductors
• Entanglement in spin chains with gradients
• Entanglement and particle correlations of Fermi gases in harmonic traps
• Quantum dynamics and entanglement of a 1D Fermi gas released from a trap
• Free fermions on a line: asymptotics of the entanglement entropy and entanglement spectrum from full counting statistics
• Counting free fermions on a line: a Fisher-Hartwig asymptotic expansion for the Toeplitz determinant in the double-scaling limit

Cited by in corpus (81)

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• Phase transitions and edge scaling of number variance in Gaussian random matrices
• Finite temperature free fermions and the Kardar-Parisi-Zhang equation at finite time
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• Ballistic front dynamics after joining two semi-infinite quantum Ising chains
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• Wigner function of noninteracting trapped fermions
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• Dynamics of charge fluctuations from asymmetric initial states
• Universal ground state properties of free fermions in a $d$-dimensional trap
• Number statistics for $\beta$-ensembles of random matrices: applications to trapped fermions at zero temperature
• Extreme statistics and index distribution in the classical $1d$ Coulomb gas
• Counting statistics for non-interacting fermions in a $d$-dimensional potential
• Linear statistics and pushed Coulomb gas at the edge of beta random matrices: four paths to large deviations
• Quench action and large deviations: work statistics in the one-dimensional Bose gas
• Free fermions at the edge of interacting systems
• Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
• Full counting statistics for interacting trapped fermions
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• Surface and bulk entanglement in free-fermion chains
• Projective phase measurements in one-dimensional Bose gases
• Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
• Spectral order statistics of Gaussian random matrices: large deviations for trapped fermions and associated phase transitions
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature
• Exact full counting statistics for the staggered magnetization and the domain walls in the XY spin chain
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Full counting statistics of interacting lattice gases after an expansion: The role of the condensate depletion in the many-body coherence
• Periodic Airy process and equilibrium dynamics of edge fermions in a trap
• Statistics of fermions in a $d$-dimensional box near a hard wall
• On the low-energy description for tunnel-coupled one-dimensional Bose gases
• Counting statistics for non-interacting fermions in a rotating trap
• Free fermions and the classical compact groups
• Multilayered density profile for noninteracting fermions in a rotating two-dimensional trap
• Non-interacting fermions in hard-edge potentials
• Full counting statistics and symmetry resolved entanglement for free conformal theories with interface defects
• Full Counting Statistics of Charge in Quenched Quantum Gases
• Kinetic energy of a trapped Fermi gas at finite temperature
• Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
• Dynamical phase transition in the occupation fraction statistics for non-crossing Brownian particles
• Fluctuations of observables for free fermions in a harmonic trap at finite temperature
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Statistics of extremes in eigenvalue-counting staircases
• Wigner function for noninteracting fermions in hard wall potentials
• Free fermions and $\alpha$-determinantal processes
• Noninteracting trapped Fermions in double-well potentials: inverted parabola kernel
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Distinguishing Quantum Phases through Cusps in Full Counting Statistics
• Correlations vs connectivity in R-charge
• Entanglement in composite free-fermion systems
• Density profile of noninteracting fermions in a rotating $2d$ trap at finite temperature
• Stationary time correlations for fermions after a quench in the presence of an impurity
• Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium
• Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Statistics
• Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission
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• Measuring full counting statistics in a trapped-ion quantum simulator
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• Hole probability for noninteracting fermions in a $d$-dimensional trap
• Nonequilibrium dynamics of noninteracting fermions in a trap
• Importance Sampling for counting statistics in one-dimensional systems
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• Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution
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• Truncated quantum observables and their semiclassical limit
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• Exact first-order effect of interactions on the ground-state energy of harmonically-confined fermions
• PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"