Quantum-classical correspondence of a system of interacting bosons in a triple-well potential

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).

Interacting bosons in a triple well: Preface of many-body quantum chaos

“…Fascinating phenomena are explored with systems of interacting atoms in triple-well potentials, such as transistorlike behaviors [5][6][7], entanglement generation [8,9], coherent population transfer [10][11][12][13], fragmentation [14,15], quantumclassical correspondence [16][17][18][19][20][21][22], quantum chaos [23][24][25][26][27][28][29][30], superfluidity [31,32], localization [33], and caustics [34], among others [35][36][37][38][39][40][41][42][43][44][45][46][47]. One of the most popular models in this context is the three-well Bose-Hubbard model with short-range interactions and local hopping terms [48,49].…”

Chaos in the three-site Bose-Hubbard model -- classical vs quantum

“…As a classical limit, it is widely used as the basis for semi-classical studies of the Bose-Hubbard model . The behavior of the quantum model has been compared to that of the DNLS [47][48][49][50][51][52][53][54][55][56]. When considering the classical limit, it is convenient to parametrize the interaction by Λ = U N , where U is the on-site interaction and N is the number of particles.…”