Symmetry-induced many-body quantum interference in chaotic bosonic systems: an augmented Truncated Wigner method
arXiv:2202.04596 · doi:10.1088/1751-8121/ac8085
Abstract
Although highly successful, the Truncated Wigner Approximation (TWA) does not account for genuine many-body quantum interference between different solutions of the mean-field equations of a bosonic many-body (MB) system. This renders the TWA essentially classical, where a large number of particles formally takes the role of the inverse of Planck's constant . The failure to describe genuine interference phenomena, such as localization and scarring in Fock space, can be seen as a virtue of this quasiclassical method, which thereby allows one to identify genuine quantum effects when being compared with "exact" quantum calculations that do not involve any a priori approximation. A rather prominent cause for such quantum effects that are not accounted for by the TWA is the constructive interference between the contributions of symmetry-related trajectories, which would occur in the presence of discrete symmetries provided the phase-space distribution of the initial state and the observable to be evaluated feature a strong localization about the corresponding symmetry subspaces. Here we show how one can conceive an augmented version of the TWA which can account for this particular effect. This augmented TWA effectively amounts to complementing conventional TWA calculations by separate Truncated Wigner simulations that are restricted to symmetric subspaces and involve weight factors that account for the dynamical stability of sampling trajectories with respect to perpendicular deviations from those subspaces. We illustrate the validity of this method at pre- as well as post-Ehrenfest time scales in prototypical Bose-Hubbard systems displaying chaotic classical dynamics, where it also reveals the existence of additional MB interference effects.
arXiv comment57 pages (incl. 24 pages appendix), 5 figures
References in corpus (27)
- Feshbach Resonances in Ultracold Gases
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Quantum thermalization through entanglement in an isolated many-body system
- Quantum many-body scars
- Exploring the many-body localization transition in two dimensions
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Quasiparticle Lifetime in a Finite System: A Non--Perturbative Approach
- Phase space representation of quantum dynamics
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Probing entanglement in a many-body-localized system
- Dynamical quantum noise in Bose-Einstein condensates
- The truncated Wigner method for Bose condensed gases: limits of validity and applications
- Quantum Many-Body Scars in Optical Lattices
- Coherent Backscattering in Fock Space: a Signature of Quantum Many-Body Interference in Interacting Bosonic Systems
- Semiclassical propagator of the Wigner function
- Lossy chaotic electromagnetic reverberation chambers: Universal statistical behavior of the vectorial field
- Bose-Einstein Condensation and Spontaneous Symmetry Breaking
- NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
- Enhancement of many-body quantum interference in chaotic bosonic systems
- Describing many-body bosonic waveguide scattering with the truncated Wigner method
- Breakdown of Anderson localization in the transport of Bose-Einstein condensates through one-dimensional disordered potentials
- Many-Body Spin Echo
- Distinguishing quantum features in classical propagation
- Coherent backscattering in the Fock space of ultracold bosonic atoms