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Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
Adil A Gangat1, Ian P McCulloch2, Ying-Jer Kao3,4
1Department of Physics, National Taiwan University, Taipei, 10607, Taiwan.
Scientific Reports
|March 1, 2018
Summary
The study reveals that driven-dissipative Bose-Hubbard models exhibit symmetric behaviors regardless of attractive or repulsive interactions. This finding implies that phenomena like "fermionization" and "superbunching" are achievable with both interaction types.
Area of Science:
- Quantum physics
- Condensed matter theory
- Open quantum systems
Background:
- The driven-dissipative Bose-Hubbard model is crucial for studying interacting bosons in open quantum systems.
- Experimental realizations involve tunable parameters like onsite detunings, hopping, and interaction energies.
Purpose of the Study:
- To investigate the impact of parameter signs on non-equilibrium steady states in the driven-dissipative Bose-Hubbard model.
- To explore the quantum behaviors of interacting bosons under different interaction regimes (attractive vs. repulsive).
Main Methods:
- Utilized one-dimensional matrix product density operators for a comprehensive quantum analysis.
- Applied the Lindblad master equation to model the open quantum system dynamics.
Main Results:
- Identified a symmetry in the Lindblad master equation.
- Demonstrated that simultaneous sign changes in interaction, hopping, and chemical potentials preserve local boson distributions and correlations.
- Showed that the steady state becomes complex conjugated under these transformations.
Conclusions:
- Driven-dissipative phenomena like "fermionization" and "superbunching" are equivalent for both attractive and repulsive interactions.
- The model's behavior is robust to the sign of interaction parameters, offering flexibility in experimental design.
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