Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion

2018

EPJ Web Conf.

Abstract. We consider two interacting atoms subject to a one-dimensional anharmonic trap and magnetic field gradient. This system has been recently investigated by the Heidelberg group in the experiment on two 6 Li atoms. In the present paper the tunneling of two cold 6 Li atoms, initially prepared in the center-of-mass and relative motion excited state, is explored and full time-dependent simulation of the tunneling dynamics is performed. The dynamics is analyzed for the interatomic coupling strength ranging from strong attraction to strong repulsion.

“…This mixing occurs due to the rotational symmetry breaking, which is caused by anharmonic terms of the potential (4). Similar effect has been observed in [1,18,19]. Figure 2.…”

Section: Resultssupporting

confidence: 70%

Tunneling of Two Interacting Fermions

2018

EPJ Web Conf.

“…This assumption led to many insightful models, which successfully explained the underlying physics [8][9][10]. Yet as was found in [11][12][13][14][15][16] anharmonic corrections to the trapping potential are needed to be considered, in order to explain resonances, which are not covered by the harmonic approximation of the potential. Another difficulty is connected with the interaction potential between the particles, since not every theoretical model can easily incorporate it into the model correctly.…”

Section: Introductionmentioning

confidence: 99%

Tunneling of two bosonic atoms from a one-dimensional anharmonic trap

Melezhik

2017

Phys. Rev. A

We investigate the quantum dynamics of two interacting bosonic atoms confined in a one-dimensional anharmonic trap. The tunneling rate, an experimentally measurable parameter of the system, was calculated as a function of the effective coupling interatomic constant $g$ from the ground (n=N=0) and first excited atomic states in the trap with respect to relative (n=2,N=0) and center-of-mass (n=0,N=2) atomic motion. This allows to investigate the initial population and pair correlation, as well as the effective coupling constant $g$, of the system by comparing the calculated tunneling rate with the experimental one. We have observed that the only possible tunneling scenario is a sequential particle tunneling in the cases we considered. We have also analyzed a rearrangement $(0,2)\rightleftarrows(2,0)$ of the spectrum in the limit $g\rightarrow \pm 0$ of noninteracting atoms

“…The origin of such nodal pattern mixing is due to rotational symmetry breaking at g = 0: the anharmonic terms of the trap potential (2.4) lift the doubly degenerate harmonic energy level [22]. Similar effect has been observed in [22,27,28]. When computing the time-evolution of the wave function ψ(x 1 , x 2 , t) at t > 0, using (2.6), we set C 1 = 1886 G/m and C 2 = 1884 G/m.…”

Section: A Initial Solution and The Energy Spectummentioning

confidence: 55%

Tunneling of two interacting atoms from excited states

Physica E: Low-dimensional Systems and Nanostructures

2019

We consider tunneling of two interacting atoms with an even spatial symmetry. The atoms are prepared in two lowest excited states with respect to relative and center-of-mass motions. We observe monotonic and non-monotonic dependence of the decay rate of the total probability as a function of the interatomic coupling strength g. We find a transition from uncorrelated to correlated pair tunneling as a function of g and an external trap barrier. The similar system has been investigated for two interacting 6 Li atoms in the deterministic Heidelberg experiment.