Topological quantum phase transition in the BEC-BCS crossover phenomena

Abstract

A crossover between the Bose Einstein condensation (BEC) and BCS superconducting state is described topologically in the chiral symmetric fermion system with attractive interaction. Using a local Z_2 Berry phase, we found a quantum phase transition between the BEC and BCS phases without accompanying the bulk gap closing.

4 pages, 5 figures

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Cited by in corpus (9)

• Many-body localization in a non-Hermitian quasi-periodic system
• Non-Hermitian Stark Many-Body Localization
• Berry phase investigation of spin-S ladders
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Constructing Landau framework for topological order: Quantum chains and ladders
• Interaction-induced decoherence in non-Hermitian quantum walks of ultracold Bosons
• Effective Hamiltonian based Monte Carlo for the BCS to BEC crossover in the attractive Hubbard model
• Exploring Percolative Landscapes: Infinite Cascades of Geometric Phase Transitions
• Z${}_2$ topological number of local quantum clusters in the orthogonal dimer model