I. S. Ishmukhamedov

ORCID: 0000-0002-7903-3432
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Research Areas
  • Cold Atom Physics and Bose-Einstein Condensates
  • Quantum, superfluid, helium dynamics
  • Advanced Chemical Physics Studies
  • Atomic and Molecular Physics
  • Atomic and Subatomic Physics Research
  • Quantum optics and atomic interactions
  • Quantum Mechanics and Applications
  • Quantum Information and Cryptography
  • Quantum chaos and dynamical systems
  • Advanced Frequency and Time Standards
  • Advanced Physical and Chemical Molecular Interactions
  • Strong Light-Matter Interactions
  • Mass Spectrometry Techniques and Applications
  • Scientific Measurement and Uncertainty Evaluation

National Nuclear Center of the Republic of Kazakhstan
2018-2024

Al-Farabi Kazakh National University
2012-2022

Joint Institute for Nuclear Research
2014-2022

We investigate the quantum dynamics of two interacting bosonic atoms confined in a one-dimensional anharmonic trap. The tunneling rate, an experimentally measurable parameter system, was calculated as function effective coupling interatomic constant $g$ from ground (n=N=0) and first excited atomic states trap with respect to relative (n=2,N=0) center-of-mass (n=0,N=2) motion. This allows initial population pair correlation, well $g$, system by comparing rate experimental one. have observed...

10.1103/physreva.95.062701 article EN Physical review. A/Physical review, A 2017-06-06

10.1134/s1547477115050040 article EN Physics of Particles and Nuclei Letters 2015-09-01

10.1016/j.physe.2018.12.026 article EN Physica E Low-dimensional Systems and Nanostructures 2018-12-25

10.1016/j.physe.2022.115228 article EN Physica E Low-dimensional Systems and Nanostructures 2022-03-26

We present an efficient numerical method for the integration of 3D Schrödinger equation. A tunneling problem two interacting bosonic atoms confined in a 1D anharmonic trap has been successfully solved by means this method. demonstrate fast convergence final results with respect to spatial and temporal grid steps. The computational scheme is based on operator-splitting technique implicit Crank-Nicolson algorithm sixth-order finite-differences. time proportional number points.

10.1051/epjconf/201817303011 article EN cc-by EPJ Web of Conferences 2018-01-01

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

10.48550/arxiv.1806.09005 preprint EN other-oa arXiv (Cornell University) 2018-01-01

The nonrelativistic ionization energy levels of a helium atom are calculated for S, P, and D states. calculations based on the variational method "exponential" expansion. Variational wave functions bound states were obtained by solving Schrodinger equation quantum three body problem with Coulomb interaction using approach exponential expansion parameters exponents being chosen in pseudorandom way. convergence is studied as function number basis (N). This allows us to claim that values...

10.26577/2409-6121-2015-2-1-59-65 article EN cc-by-nc Physical Sciences and Technology 2015-01-01

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 experiment on 6 Li atoms. In present paper tunneling of cold atoms, initially prepared center-of-mass relative motion excited state, is explored full time-dependent simulation dynamics performed. The analyzed for interatomic coupling strength ranging from strong attraction repulsion.

10.1051/epjconf/201817709006 article EN cc-by EPJ Web of Conferences 2018-01-01
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