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Open Bose-Hubbard chain: Pseudoclassical approach.

A A Bychek¹, P S Muraev², D N Maksimov^1,2

¹Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia.

Physical Review. E

|February 20, 2020

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.