Decay properties of unstable Tonks-Girardeau gases from a split trap

Abstract

We study the decay properties of Tonks-Girardeau gases escaping from a double-well potential. Initially, the gases are constrained between two infinite $\delta$ barriers with an on-center $\delta$-split potential. The strength of one of the obstacles is suddenly reduced, and the particles start to tunnel to the open space. Using the resonance expansion method, we derive the single-term approximate expression for the $N$-particle survival probability and demonstrate its effectiveness in both the exponential and nonexponential regimes. We also predict a parity effect and provide physical insights into its nature at different stages of the time evolution. We conclude that only the initial phase of the decay of the many-particle state may comply with an exponential law. The decay properties are dramatically affected by the presence of the split barrier. Our results reveal the overall decay mechanism of unstable Tonks-Girardeau gases from single and double quantum wells.

arXiv comment8 pages, 4 figures

References in corpus (37)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Deterministic Preparation of a Tunable Few-Fermion System
• Fermionization of two distinguishable fermions
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Many-body solitons in a one-dimensional condensate of hard core bosons
• Long-time behavior of many-particle quantum decay
• Tunneling dynamics of few bosons in a double well
• Non-exponential and oscillatory decays in quantum mechanics
• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• How does an interacting many-body system tunnel through a potential barrier to open space?
• Experimental investigation of quantum decay at short, intermediate and long times via integrated photonics
• Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases
• Hidden evidence of non-exponential nuclear decay
• Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay
• 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
• Comment on "Evolution of a Quasi-Stationary State"
• Time evolution of decay of two identical quantum particles
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential
• Time-dependent approach to many-particle tunneling in one-dimension
• Escape Behavior of Quantum Two-Particle Systems with Coulomb Interactions
• Tunneling dynamics of two interacting one-dimensional particles
• Tunneling of two bosonic atoms from a one-dimensional anharmonic trap
• Few-boson tunneling in a double well with spatially modulated interaction
• Nonexponential tunneling decay of a single ultracold atom
• Analytical study of quadratic and non-quadratic short-time behavior of quantum decay
• Effective two-mode description of a few ultra-cold bosons in a double-well potential
• Decay modes of two repulsively interacting bosons
• Dynamics of a few interacting bosons escaping from an open well
• Two Atoms in a Double Well: An Exact Solution
• Momentum correlations of a few ultra-cold bosons escaping from an open well
• Decay process accelerated by tunneling in its very early stage
• The true quantum face of the "exponential" decay law
• Bipartite correlations in quantum resonance states
• Two-electron resonances in quasi-one dimensional quantum dots with Gaussian confinement
• Determination of Resonances by the Optimized Spectral Approach

Cited by in corpus (2)

• Two Rydberg-dressed atoms escaping from an open well
• On the Exponential Decay of Strongly Interacting Cold Atoms from a Double-Well Potential