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

K Wittmann W, ER Castro, A Foerster, LF Santos - Physical Review E, 2022 - APS
Systems of interacting bosons in triple-well potentials are of significant theoretical and
experimental interest. They are explored in contexts that range from quantum phase …

Adiabatic quenches and characterization of amplitude excitations in a continuous quantum phase transition

TM Hoang, HM Bharath… - Proceedings of the …, 2016 - National Acad Sciences
Spontaneous symmetry breaking occurs in a physical system whenever the ground state
does not share the symmetry of the underlying theory, eg, the Hamiltonian. This mechanism …

Ultracold bosons in a tilted multilevel double-well potential

DR Dounas-Frazer, AM Hermundstad, LD Carr - Physical review letters, 2007 - APS
The N-body problem in a tilted double well requires new features for macroscopic quantum
superposition in ultracold atoms. In particular, one needs to go beyond the single-particle …

Classical and quantum dynamics of a model for atomic-molecular Bose-Einstein condensates

G Santos, A Tonel, A Foerster, J Links - Physical Review A—Atomic, Molecular …, 2006 - APS
We study a model for a two-mode atomic-molecular Bose-Einstein condensate. Starting with
a classical analysis we determine the phase space fixed points of the system. It is found that …

The two-site Bose–Hubbard model

J Links, A Foerster, AP Tonel, G Santos - Annales Henri Poincaré, 2006 - Springer
The two-site Bose–Hubbard model is a simple model used to study Josephson tunneling
between two Bose–Einstein condensates. In this work we give an overview of some …

Quantum integrable multi-well tunneling models

LH Ymai, AP Tonel, A Foerster… - Journal of Physics A …, 2017 - iopscience.iop.org
In this work we present a general construction of integrable models describing boson
tunneling in multi-well systems. We show how the models may be derived through the …

Understanding quantum work in a quantum many-body system

Q Wang, HT Quan - Physical Review E, 2017 - APS
Based on previous studies in a single-particle system in both the integrable [Jarzynski,
Quan, and Rahav, Phys. Rev. X 5, 031038 (2015) 2160-3308 10.1103/PhysRevX. 5.031038] …

Entanglement and localization of a two-mode Bose–Einstein condensate

C Pérez-Campos, JR González-Alonso, O Castaños… - Annals of Physics, 2010 - Elsevier
A simple second quantization model is used to describe a two-mode Bose–Einstein
condensate (BEC), which can be written in terms of the generators of a SU (2) algebra with …

Bethe ansatz solutions of the Bose-Hubbard dimer

J Links, KE Hibberd - … Symmetry, Integrability and Geometry: Methods and …, 2006 - emis.de
Abstract The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing
tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical …

Analytical results for Josephson dynamics of ultracold bosons

L Simon, WT Strunz - Physical Review A—Atomic, Molecular, and Optical …, 2012 - APS
We study the dynamics of ultracold bosons in a double-well potential within the two-mode
Bose-Hubbard model by means of semiclassical methods. By applying a Wentzel-Kramers …