Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method
arXiv:2212.07113 · doi:10.21468/SciPostPhys.18.4.123
Abstract
We present a new variational method to study the dynamics of a closed bosonic many-body system, the time-dependent hypernetted-chain Euler-Lagrange method, tHNC . Based on the Jastrow ansatz, it accounts for quantum fluctuations in a non-perturbative way. tHNC scales well with the number of dimensions, as demonstrated by our results on one, two, and three dimensions. We apply the tHNC method to interaction quenches, i.e. sudden changes of the interaction strength, in homogeneous Bose gases. When the quench is strong enough that the final state has roton excitations (as found and predicted for dipolar and Rydberg-dressed Bose-Einstein condensates, respectively), the pair distribution function exhibits stable oscillations. For validation, we compare tHNC results with time-dependent variational Monte Carlo results in one and two dimensions.
11 pages, 8 figures
References in corpus (42)
- Theory of Bose-Einstein condensation in trapped gases
- Feshbach Resonances in Ultracold Gases
- The density-matrix renormalization group
- Nonequilibrium dynamics of closed interacting quantum systems
- Efficient simulation of one-dimensional quantum many-body systems
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Time-dependent variational principle for quantum lattices
- Light-cone-like spreading of correlations in a quantum many-body system
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Nonequilibrium dynamical mean-field theory and its applications
- Energetics of a strongly correlated Fermi gas
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
- Ultracold atoms out of equilibrium
- Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
- Dynamical Crystallization in the Dipole Blockade of Ultracold Atoms
- Continuous Matrix Product States for Quantum Fields
- A superfluid-droplet crystal and a free-space supersolid in a dipole-blockaded gas
- Contact Measurements on Atomic BEC
- Universal dynamics of a degenerate unitary Bose gas
- Localization and Glassy Dynamics Of Many-Body Quantum Systems
- Quantum Gases in Optical Boxes
- Time-step targetting methods for real-time dynamics using DMRG
- Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
- Light-cone effect and supersonic correlations in one- and two-dimensional bosonic superfluids
- Exact relations for quantum-mechanical few-body and many-body problems with short-range interactions in two and three dimensions
- Two-dimensional dynamics of expansion of a degenerate Bose gas
- General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
- Two and Three-body Contacts in the Unitary Bose Gas
- Quench Dynamics and Orthogonality Catastrophe of Bose Polarons
- Magnetophononics: ultrafast spin control through the lattice
- Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
- Dynamics of correlations in a dilute Bose gas following an interaction quench
- Rotational coherence spectroscopy of molecules in helium nanodroplets: Reconciling the time and the frequency domains
- Unitary dynamics of strongly-interacting Bose gases with time-dependent variational Monte Carlo in continuous space
- Dynamical excitation of maxon and roton modes in a Rydberg-Dressed Bose-Einstein Condensate
- Dynamics of correlations in a quasi-2D dipolar Bose gas following a quantum quench
- Rotons and Bose condensation in Rydberg-dressed Bose Gases
- Quench Spectroscopy of a Disordered Quantum System
- Non-Thermal Fixed Points in Bose Gas Experiments
- A quantum heat engine based on dynamical materials design