We study theoretically the few-body dynamics of atoms which leak out of a trap by tunneling through a thin barrier. We consider the two cases of bosons with strongly repulsive contact interactions and spinless fermions with strongly attractive contact interactions (Bose and Fermi Tonk-Girardeau gases, respectively). The tunneling is studied as a function of the number of particles $N$ and the barrier opacity. The fermionic case reproduces a nonexponential decay of a single particle, but with a signal enhanced by a factor of $N$ . In the bosonic case, we find a different regime of nonexponential decay due to the contribution of different resonances of the trap. The relevant physical realization is that of atoms confined to an optical box with an end-cap laser barrier, and the prospects for future experiments are discussed.We study theoretically the few-body dynamics of atoms which leak out of a trap by tunneling through a thin barrier. We consider the two cases of bosons with strongly repulsive contact interactions and spinless fermions with strongly attractive contact interactions (Bose and Fermi Tonk-Girardeau gases, respectively). The tunneling is studied as a function of the number of particles $N$ and the barrier opacity. The fermionic case reproduces a nonexponential decay of a single particle, but with a signal enhanced by a factor of $N$. In the bosonic case, we find a different regime of nonexponential decay due to the contribution of different resonances of the trap. The relevant physical realization is that of atoms confined to an optical box with an end-cap laser barrier, and the prospects for future experiments are discussed.

arXiv:quant-ph/0605139Physical Review AJul 12, 200655 citations

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

Przemysław Kościk

We study the decay properties of Tonks-Girardeau gases escaping from a double-well potential. Initially, the gases are constrained between two infinite $\ensuremath{\delta}$ barriers with an on-center $\ensuremath{\delta}$-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.We study the decay properties of Tonks-Girardeau gases escaping from a double-well potential. Initially, the gases are constrained between two infinite $\ensuremath{\delta}$ barriers with an on-center $\ensuremath{\delta}$-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:2001.01508Physical Review ASep 8, 20203 citations

N

and the barrier opacity. The fermionic case reproduces a nonexponential decay of a single particle, but with a signal enhanced by a factor of

N

. In the bosonic case, we find a different regime of nonexponential decay due to the contribution of different resonances of the trap. The relevant physical realization is that of atoms confined to an optical box with an end-cap laser barrier, and the prospects for future experiments are discussed.

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.