Metastable states of a composite system tunneling through repulsive barriers

Гусев, А. А.; Vinitsky, S. I.; Чулуунбаатар, О.; Derbov, Vladimir L.; Krassovitskiy, P. M.

doi:10.1134/s0040577916010037

Cited by 8 publications

(11 citation statements)

References 21 publications

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“…The main disadvantage here is that the WKB method completely neglects interparticle interactions and therefore can produce significant errors in the end results [9]. Therefore, to treat different tunneling dynamics, which depends on the specific peculiarities of each problem, a variety of numerical approaches was developed during the last two decades in atomic, molecular and nuclear physics [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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

Ishmukhamedov

Melezhik

2017

Phys. Rev. A

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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

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Section: Introductionmentioning

confidence: 99%

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

Ishmukhamedov

Melezhik

2017

Phys. Rev. A

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“…The above goal is achieved using the appropriately chosen new symmetrized coordinates rather than the conventional Jacobi ones [5][6][7],…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…were calculated using the two-step algorithm [7]. The solution of problem (2) in the symmetrised coordinates is sought in the form of expansion over the harmonic oscillator basis functions [5]…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…For a decade, the mechanism of quantum penetration of two bound particles through barriers and wells has attracted attention from both theoretical and experimental viewpoints in relation with such problems as near-surface quantum diffusion of molecules, fragmentation in producing neutron-rich light nuclei, heavy-ion collisions through multidimensional barriers, and the mechanism of ternary fission [1][2][3][4]. The generalisation of the two-particle model over quantum systems of n identical particles, considered in our earlier papers [5][6][7], is of great importance for the appropriate description of the above problems.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we apply the approach proposed by us earlier [5][6][7] to the calculations of complex energy values of metastable states, and to the analysis of the shape and Feshbach resonances of composite systems of a few identical particles on a line, giving rise to quantum transparency of the repulsive barriers and resonance reflection from the wells.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transmission of Clusters Consisting of a Few Identical Particles Through Barriers and Wells

Гусев¹,

Vinitsky²,

Чулуунбаатар³

et al. 2017

Acta Phys. Pol. B Proc. Suppl.

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The problem of quantum transmission through potential barriers and wells is studied for a composite system consisting of a few identical particles coupled by pair oscillator potentials in the new symmetrised-coordinate representation. A closed-channel method for solving the relevant boundary value problem is applied. We confirm the efficiency of the proposed approach by calculating the complex energy values of metastable states and analysing the shape and Feshbach resonances in systems of identical particles on a line, which give rise to quantum transparency of the repulsive barriers and the resonance reflection from the wells.

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