Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases

Abstract

We study the tunneling dynamics of bosonic and fermionic Tonks-Girardeau gases from a hard wall trap, in which one of the walls is substituted by a delta potential. Using the Fermi-Bose map, the decay of the probability to remain in the trap is studied as a function of both the number of particles and the intensity of the end-cap delta laser. The fermionic gas is shown to be a good candidate to study deviations of the non-exponential decay of the single-particle type, whereas for the bosonic case a novel regime of non-exponential decay appears due to the contributions of different resonances of the trap.

References in corpus (24)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
• Bosonizing one-dimensional cold atomic gases
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• Bose Einstein Condensate in a Box
• Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
• Fermi-Bose mapping for one-dimensional Bose gases
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Macroscopic Quantum Tunneling of a Bose-Einstein Condensate with Attractive Interaction
• Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement
• Analog of photon-assisted tunneling in a Bose-Einstein condensate
• Many-body solitons in a one-dimensional condensate of hard core bosons
• A high frequency optical trap for atoms using Hermite-Gaussian beams
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Theory of spinor Fermi and Bose gases in tight atom waveguides
• Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• The 1D interacting Bose gas in a hard wall box
• Macroscopic quantum tunnelling of Bose-Einstein condensates in a finite potential well
• Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay
• Pulsed Macroscopic Quantum Tunneling of Falling Bose Condensates
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
• The role of initial state reconstruction in short and long time deviations from exponential decay
• Static and Dynamic Properties of Trapped Fermionic Tonks-Girardeau Gases

Cited by in corpus (39)

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• Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
• Fidelity of fermionic atom-number states subjected to tunneling decay
• Tunneling decay of two interacting bosons in an asymmetric double-well potential: A spectral approach
• Time modulation of atom sources
• Time evolution of decay of two identical quantum particles
• Escape Behavior of Quantum Two-Particle Systems with Coulomb Interactions
• Pair tunneling of two atoms out of a trap
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Interaction-assisted quantum tunneling of a Bose-Einstein condensate out of a single trapping well
• Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps
• Macroscopic Quantum Tunneling Escape of Bose-Einstein Condensates
• Controlling the Velocities and Number of Emitted Particles in the Tunneling to Open Space Dynamics
• Enhanced observability of quantum post-exponential decay using distant detectors
• Timescales of tunneling decay of a localized state
• Atom Fock state preparation by trap reduction
• Nonexponential tunneling decay of a single ultracold atom
• Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
• Decays of unstable quantum systems
• Decay modes of two repulsively interacting bosons
• Capturing non-exponential dynamics in the presence of two decay channels
• Dynamics of a few interacting bosons escaping from an open well
• Quasi-1D scattering with general transverse 2D confinement
• Universal potential barrier penetration by initially confined wavepackets
• Ground states of hard-core bosons in one dimensional periodic potentials
• Quantum decay and amplification in a non-Hermitian unstable continuum
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Realization of tunnel barriers for matter waves using spatial gaps
• Asymmetric Tunneling of Bose-Einstein Condensates
• Vibronic "Rabi resonances" in harmonic and hard-wall ion-traps for arbitrary laser intensity and detuning
• Momentum correlations of a few ultra-cold bosons escaping from an open well
• Macroscopic quantum escape of Bose-Einstein condensates: Analysis of experimentally realizable quasi-one-dimensional traps
• Two Rydberg-dressed atoms escaping from an open well
• Decay properties of unstable Tonks-Girardeau gases from a split trap
• Boundary bound diffraction: A combined spectral and Bohmian analysis
• Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas
• Quantum particle escape from a time-dependent confining potential