Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
arXiv:2105.10515 · doi:10.22331/q-2021-10-19-563
Abstract
We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the quantum system and how they could be used for quantum information science. In the integrable limits, our analysis of the stationary points of the semiclassical Hamiltonian reveals critical points associated with second-order quantum phase transitions. In the nonintegrable domain, the system exhibits crossovers. Depending on the parameters and quantities, the quantum-classical correspondence holds for very few bosons. In some parameter regions, the ground state is robust (highly sensitive) to changes in the interaction strength (tilt amplitude), which may be of use for quantum information protocols (quantum sensing).
11 pages, 7 figures
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Cited by in corpus (7)
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Chaos in the three-site Bose-Hubbard model -- classical vs quantum
- From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
- Hyperchaos in a Bose-Hubbard chain with Rydberg-dressed interactions
- Quantum instability and Ehrenfest time for an inverted harmonic oscillator
- Quantum Signatures of Chaos in Anisotropic Quantum Rabi Model
- Out-of-Time-Order-Correlation in perturbed quantum wells