Quantum phase transition and critical fluctuations of an attractive Bose gas in a double well potential

Abstract

We consider a Bose gas with an attractive interaction in a symmetric double well potential. In the Hartree approximation, the ground state solution spontaneously breaks the symmetry of the trapping potential above certain value of the interaction strength. We demonstrate how the Landau-Ginzburg scheme of the second order phase transition emerges from the quantum model and show its link to the spontaneous symmetry breaking mentioned above. We identify the order parameter, the critical point and analyze quantum fluctuations around it.

References in corpus (2)

• Matter-wave interferometry in a double well on an atom chip
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip

Cited by in corpus (14)

• Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates
• Bose-Einstein Condensates on slightly asymmetric double-well potentials
• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
• Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
• The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
• A continuous-variable approach to the spectral properties and quantum states of the two-component Bose-Hubbard dimer
• Quantum Magnetism with Mesoscopic Bose-Einstein Condensates
• Perturbative approach to the dynamics of a trapped ion interacting with a light field
• Spectral properties of attractive bosons in a ring lattice including a single-site potential
• Quantum-granularity effect in the formation of supermixed solitons in ring lattices
• Discrete Time Crystals with Absolute Stability
• Inherent quantum resources in stationary spin chains
• Detection of Bell correlations at finite temperature from matter-wave interference fringes
• Formation of Complex Discrete Time Crystals with Ultracold Atoms