Classical, semiclassical and quantum signatures of quantum phase transitions in a (pseudo) relativistic many-body system
arXiv:2007.04650 · doi:10.3390/condmat5020026
Abstract
We identify a (pseudo) relativistic spin-dependent analogue of the celebrated quantum phase transition driven by the formation of a bright soliton in attractive one-dimensional bosonic gases. In this new scenario, due to the simultaneous existence of the linear dispersion and the bosonic nature of the system, special care must be taken with the choice of energy region where the transition takes place. Still, due to a crucial adiabatic separation of scales, and identified through extensive numerical diagonalization, a suitable effective model describing the transition is found. The corresponding mean-field analysis based on this effective model provides accurate predictions for the location of the quantum phase transition when compared against extensive numerical simulations. Furthermore, we numerically investigate the dynamical exponents characterizing the approach from its finite-size precursors to the sharp quantum phase transition in the thermodynamic limit.
arXiv comment19 pages, 11 figures
References in corpus (23)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- A bound on chaos
- Comments on the Sachdev-Ye-Kitaev model
- Formation and Propagation of Matter Wave Soliton Trains
- Quantum many-body systems out of equilibrium
- Chaos and the Quantum Phase Transition in the Dicke Model
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Excited state quantum phase transitions in many-body systems
- Observation of universal dynamics in a spinor Bose gas far from equilibrium
- Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions
- Dirac-like plasmons in honeycomb lattices of metallic nanoparticles
- Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
- Non-equilibrium dynamics of an unstable quantum pendulum
- Reversible quantum information spreading in many-body systems near criticality
- Coherent Backscattering in Fock Space: a Signature of Quantum Many-Body Interference in Interacting Bosonic Systems
- Quantum criticality and dynamical instability in the kicked top
- Spectral statistics of chaotic many-body systems
- Excitation spectrum of bosons in a finite one-dimensional circular waveguide via the Bethe ansatz
- Periodic Mean-Field Solutions and the Spectra of Discrete Bosonic Fields: Trace Formula for Bose-Hubbard Models
- Post-Ehrenfest many-body quantum interferences in ultracold atoms far-out-of-equilibrium
- Coherent states, quantum gravity and the Born-Oppenheimer approximation, III: Applications to loop quantum gravity
- Regularity and chaos in cavity QED