Quantum holonomy in Lieb-Liniger model

Abstract

We examine a parametric cycle in the N-body Lieb-Liniger model that starts from the free system and goes through Tonks-Girardeau and super-Tonks-Girardeau regimes and comes back to the free system. We show the existence of exotic quantum holonomy, whose detailed workings are analysed with the specific sample of two- and three body systems. The classification of eigenstates based on clustering structure naturally emerges from the analysis.

7 pages, 4 figures; v2: published version, appendices added, fixed typos

References in corpus (4)

• Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
• Quasienergy anholonomy and its application to adiabatic quantum state manipulation
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• Equation of state for the one-dimensional attractive δ-potential Bose gas in the weak-coupling regime

Cited by in corpus (13)

• Dipolar physics: A review of experiments with magnetic quantum gases
• Creating quantum many-body scars through topological pumping of a 1D dipolar gas
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Bloch vector, disclination and exotic quantum holonomy
• Adiabatic excitation of a confined particle in one dimension with a variable infinitely sharp wall
• Interaction quench of dipolar bosons in a one-dimensional optical lattice
• Exotic quantum holonomy and non-Hermitian degeneracies in two-body Lieb-Liniger model
• Complete population inversion of Bose particles by an adiabatic cycle
• Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops
• Generating nonequilibrium stationary state from ground state condensate through an almost-adiabatic cycle
• Topological adiabatic dynamics in classical mass-spring chains with clamps
• Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas
• A topological formulation for exotic quantum holonomy