Condensation driven by a quantum phase transition

Abstract

The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at finite temperature that emerged in the proximity of the boundary of the equilibrium diagram. The gaped phase induces a state of collectivism/condensation at finite temperature in which population cumulates into the ground state in spite of interacting attractively. The work sets the foundation to approach the effect of attraction in the formation of a molecular condensate.

arXiv comment5+ pages, 2 figures. Comments or bibliographical suggestions are welcome

References in corpus (21)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Theory of Bose-Einstein condensation in trapped gases
• Quantum computational advantage using photons
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Atomic quantum gases in periodically driven optical lattices
• Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions
• Do attractive bosons condense?
• Spatial fragmentation of a Bose-Einstein condensate in a double-well potential
• Stability of Repulsive Bose-Einstein Condensates in a Periodic Potential
• Growth and Collapse of a Bose Condensate with Attractive Interactions
• The Bose-Einstein Condensate and Cold Atom Laboratory
• Stability of Attractive Bose-Einstein Condensates in a Periodic Potential
• Atomic Bose-Einstein condensate to molecular Bose-Einstein condensate transition
• Instability of a Bose-Einstein Condensate with Attractive Interaction
• Stability criterion for attractive Bose-Einstein condensates
• Trapping Ions and Atoms Optically
• Fate of a Bose-Einstein condensate with attractive interaction
• Quantum Phase Transition in a Quantum Ising Chain at Nonzero Temperatures
• Overlapping Bose-Einstein Condensates of ${}^{23}$Na and ${}^{133}$Cs
• Thermodynamic signatures of an underlying quantum phase transition: A grand canonical approach