Lattice-induced wavefunction effects on trapped superfluids
- URL: http://arxiv.org/abs/2401.14004v2
- Date: Fri, 31 May 2024 07:38:02 GMT
- Title: Lattice-induced wavefunction effects on trapped superfluids
- Authors: Yeyang Zhang,
- Abstract summary: We propose gauge-independent tensors describing Bloch wavefunction effects on local interaction between correlated particles.
We derive an effective hydrodynamic theory for ultracold bosons in optical lattices.
Our discovery advances the connections between the modern band theory and quantum many-body physics.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Wavefunction effects in uncorrelated systems are characterized by the Berry curvature and quantum metric. Beyond those, we propose gauge-independent tensors describing Bloch wavefunction effects on local interaction between correlated particles. We derive an effective hydrodynamic theory for ultracold bosons in optical lattices. Ground states and collective modes of superfluids in isotropic harmonic traps are solved for highly symmetric lattices. In a dynamic process, the wavefunction effects are featured by the eigenfrequency, amplitude, and phase shift of an excited breathing mode and can be observed in experiments. We also give a tight-binding model of a bipartite square lattice with nontrivial wavefunction effects. Our discovery advances the connections between the modern band theory and quantum many-body physics.
Related papers
- Fermionization and collective excitations of 1D polariton lattices [0.0]
We show that the hallmarks of correlation and fermionization in a one-dimensional exciton-polaritons gas can be observed with state-of-the-art technology.
Our work encourages future experiments aimed at observing, for the first time, strongly correlated exciton-polariton physics.
arXiv Detail & Related papers (2024-05-03T17:09:12Z) - Dispersive shock waves in a one-dimensional droplet-bearing environment [7.370081795303041]
We demonstrate the controllable generation of distinct types of dispersive shock-waves emerging in a quantum droplet bearing environment.
Surprisingly, dispersive shock waves persist across the hyperbolic-to-elliptic threshold.
A plethora of additional wave patterns arise, such as rarefaction waves, traveling dispersive shock waves, (anti)kinks and droplet wavetrains.
arXiv Detail & Related papers (2024-04-03T18:39:57Z) - Super- and subradiant dynamics of quantum emitters mediated by atomic
matter waves [0.0]
We explore cooperative dynamics of quantum emitters in an optical lattice that interact by radiating atomic matter waves.
We demonstrate directional super- and subradiance from a superfluid phase with tunable radiative phase lags.
We observe a coupling to collective bound states with radiation trapped at and between the emitters.
arXiv Detail & Related papers (2023-11-16T00:37:06Z) - Fragmented superconductivity in the Hubbard model as solitons in
Ginzburg-Landau theory [58.720142291102135]
Superconductivity and charge density waves are observed in close vicinity in strongly correlated materials.
We investigate the nature of such an intertwined state of matter stabilized in the phase diagram of the elementary $t$-$tprime$-$U$ Hubbard model.
We provide conclusive evidence that the macroscopic wave functions of the superconducting fragments are well-described by soliton solutions of a Ginzburg-Landau equation.
arXiv Detail & Related papers (2023-07-21T18:00:07Z) - Concentrated subradiant modes in one-dimensional atomic array coupled
with chiral waveguides [0.510036543634541]
Non-Hermitian systems have recently attracted broad interest and exhibited intriguing physical phenomena.
Here we propose a non-Hermitian atom-waveguide system composed of a tilted one-dimensional atomic array.
We find the excitation of the collective atomic states concentrates in the middle interface, pointing towards the non-Hermitian skin effect.
arXiv Detail & Related papers (2022-08-23T07:34:26Z) - In-Gap Band Formation in a Periodically Driven Charge Density Wave
Insulator [68.8204255655161]
Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium.
We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
arXiv Detail & Related papers (2022-05-19T13:28:47Z) - Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator.
We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
arXiv Detail & Related papers (2021-07-23T07:30:57Z) - Spontaneous Formation of Star-Shaped Surface Patterns in a Driven
Bose-Einstein Condensate [0.0]
Two-dimensional star-shaped patterns with $l$-fold symmetry, ranging from quadrupole to heptagon modes, are parametrically excited by modulating the scattering length near the Feshbach resonance.
Our work opens a new pathway for generating higher-lying collective excitations with applications.
arXiv Detail & Related papers (2021-05-20T14:46:28Z) - Bloch-Landau-Zener dynamics induced by a synthetic field in a photonic
quantum walk [52.77024349608834]
We realize a photonic quantum walk in the presence of a synthetic gauge field.
We investigate intriguing system dynamics characterized by the interplay between Bloch oscillations and Landau-Zener transitions.
arXiv Detail & Related papers (2020-11-11T16:35:41Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z) - Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit.
We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront.
The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
arXiv Detail & Related papers (2020-03-09T21:27:02Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.