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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Atomic physics

Background:

  • Bose-Einstein condensates (BECs) are quantum states of matter.
  • Optical lattices create artificial periodic potentials for atoms.
  • Thouless pumping describes quantized charge transport in topological systems.

Purpose of the Study:

  • To theoretically investigate nonlinear quantized Thouless pumping of BECs in 2D dynamical optical lattices.
  • To identify and characterize different pumping regimes.
  • To understand the role of solitons and interactions in quantized transport.

Main Methods:

  • Theoretical modeling of BECs in 2D dynamical optical lattices.
  • Analysis of nonlinear phenomena, including soliton formation and propagation.
  • Calculation of Chern numbers and study of interband transitions.

Main Results:

  • Identified three pumping scenarios: quasilinear, single 2D soliton transport, and multisoliton regimes.
  • Demonstrated that the pumping scenario depends on the number of atoms and interaction strength.
  • Showcased one-soliton pumping at low and high initial wave packet amplitudes, with multisoliton transport at intermediate amplitudes.
  • Explored a specific separable potential with parity-time symmetry, highlighting the relevance of fractional Chern numbers.

Conclusions:

  • Nonlinear effects significantly influence quantized Thouless pumping in BECs.
  • Solitonic transport is a key feature in specific parameter regimes.
  • The study provides insights into topological quantum transport in interacting many-body systems.