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Dissipative Bose-Josephson junction coupled to bosonic baths.
1Indian Institute of Science Education and Research-Kolkata, Mohanpur, Nadia-741246, India.
Physical Review. E
|October 24, 2019
Summary
Dissipation in Bose-Josephson junctions (BJJ) drives quantum phase transitions and affects dynamics. Increased coupling to baths leads to instability and decay, with phase fluctuations varying with bath temperature.
Area of Science:
- Quantum physics
- Condensed matter physics
Background:
- Bose-Josephson junctions (BJJ) are crucial for quantum phenomena.
- Understanding dissipation effects is key for BJJ stability and control.
Purpose of the Study:
- Investigate the impact of dissipation on BJJ dynamics.
- Analyze quantum phase transitions induced by bath coupling.
- Explore stability and observable effects of dissipation in BJJs.
Main Methods:
- Mapping BJJ to an equivalent spin model.
- Holstein-Primakoff approximation for energy and fluctuations.
- Time-dependent variational method for dynamics.
- Analytical treatment for Ohmic bath with Gaussian noise.
Main Results:
- Quantum phase transition observed with increasing bath coupling strength.
- Vanishing energy gap and enhanced quantum fluctuations at critical points.
- Instability of steady states (π oscillation, self-trapped) due to resonance with bath modes.
- Decay of oscillations and self-trapped states to the ground state via dissipation.
- Phase fluctuation behavior matches experimental observations with bath temperature.
Conclusions:
- Dissipation significantly alters BJJ behavior, inducing phase transitions and instabilities.
- Resonance effects and decay mechanisms are critical for understanding BJJ dynamics.
- The study provides insights into experimental observation of dissipation effects in BJJs.
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