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Open Bose-Hubbard chain: Pseudoclassical approach.

A A Bychek1, P S Muraev2, D N Maksimov1,2

  • 1Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia.

Physical Review. E
|February 20, 2020
PubMed
Summary
This summary is machine-generated.

We studied bosonic particle transport in a Bose-Hubbard chain connected to particle reservoirs. Increasing interaction strength shifts transport from ballistic (length-independent) to diffusive (length-dependent).

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • The Bose-Hubbard model describes interacting bosons on a lattice.
  • Understanding particle transport in quantum systems is crucial for developing quantum technologies.
  • Open quantum systems with particle reservoirs present unique transport phenomena.

Purpose of the Study:

  • To investigate the stationary current of bosonic carriers in a finite Bose-Hubbard chain coupled to particle reservoirs.
  • To analyze the influence of interparticle interactions on the transport regime.
  • To determine the transition from ballistic to diffusive transport.

Main Methods:

  • Utilizing a pseudoclassical approach to map the quantum problem onto a classical system.
  • Analyzing a chain of L coupled nonlinear oscillators representing the Bose-Hubbard model.
  • Calculating the stationary current as a function of chain length and interaction strength.

Main Results:

  • The stationary current's behavior depends on the nonlinearity of the coupled oscillators, which reflects interparticle interactions.
  • An increase in nonlinearity leads to a transition from ballistic transport (current independent of chain length L) to diffusive transport (current inversely proportional to L).

Conclusions:

  • Interparticle interactions play a critical role in determining the nature of particle transport in quantum chains.
  • The pseudoclassical approach provides an effective method for studying open quantum systems.
  • The findings offer insights into controlling quantum transport phenomena.