Fracton hydrodynamics
- URL: http://arxiv.org/abs/2003.09429v3
- Date: Wed, 22 Jul 2020 14:57:14 GMT
- Title: Fracton hydrodynamics
- Authors: Andrey Gromov, Andrew Lucas, Rahul M. Nandkishore
- Abstract summary: We introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter.
Our framework naturally explains results on dynamics with constrained quantum circuits, as well as recent experiments with ultracold atoms in tilted optical lattices.
- Score: 0.5735035463793008
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce new classes of hydrodynamic theories inspired by the recently
discovered fracton phases of quantum matter. Fracton phases are characterized
by elementary excitations (fractons) with restricted mobility. The hydrodynamic
theories we introduce describe thermalization in systems with fracton-like
mobility constraints, including fluids where charge and dipole moment are both
locally conserved, and fluids where charge is conserved along every line or
plane of a lattice. Each of these fluids is subdiffusive, and constitutes a new
universality class of hydrodynamic behavior. There are infinitely many such
classes, each with distinct subdiffusive exponents, all of which are captured
by our formalism. Our framework naturally explains recent results on dynamics
with constrained quantum circuits, as well as recent experiments with ultracold
atoms in tilted optical lattices. We identify crisp experimental signatures of
these novel hydrodynamics, and explain how they may be realized in near term
ultracold atom experiments.
Related papers
- Emergent Fracton Hydrodynamics in the Fractional Quantum Hall Regime of Ultracold Atoms [41.94295877935867]
We show that in the lowest Landau level the system generically relaxes subdiffusively.
The slow relaxation is understood from emergent conservation laws of the total charge.
We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics.
arXiv Detail & Related papers (2024-10-09T18:00:02Z) - Quantum corrections at second order in derivatives to the dynamics of small non-relativistic fluids [0.0]
For mesoscopic fluids consisting of a small number of atoms, second-order corrections can become significant.
We identify relevant second-order terms of quantum origin that contribute already in a static situation.
We assess the influence of these terms on numerical solutions of second-order fluid dynamic equations for the expansion of a mesoscopic ultra-cold Fermi gas released from an anisotropic harmonic trap in two spatial dimensions.
arXiv Detail & Related papers (2024-08-12T12:43:39Z) - Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains [0.0]
Fractonic constraints can lead to exotic properties of quantum many-body systems.
We investigate the dynamics of fracton excitations on top of the ground states of a one-dimensional, dipole-conserving Bose-Hubbard model.
arXiv Detail & Related papers (2023-11-14T19:00:02Z) - 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) - Complex fluid models of mixed quantum-classical dynamics [0.0]
Mixed quantum-classical fluid models have appeared to describe the coupling between liquid solvents and quantum solute molecules.
Here, we present a new complex fluid system that resolves well-known consistency issues.
As a result, the system inherits a Hamiltonian structure and retains energy/momentum balance.
arXiv Detail & Related papers (2023-06-27T17:48:50Z) - Hydrodynamics in long-range interacting systems with center-of-mass
conservation [0.4014524824655105]
In systems with a conserved density, the additional conservation of the center of mass has been shown to slow down the associated hydrodynamics.
We develop a hydrodynamic theory for long-range center-of-mass-conserving systems.
arXiv Detail & Related papers (2023-04-24T18:00:07Z) - Kagome qubit ice [55.73970798291771]
Topological phases of spin liquids with constrained disorder can host a kinetics of fractionalized excitations.
We present a realization of kagome spin ice in the superconducting qubits of a quantum annealer.
We show evidence of both the Ice-I phase and an unconventional field-induced Ice-II phase.
arXiv Detail & Related papers (2023-01-04T23:46:48Z) - NeuroFluid: Fluid Dynamics Grounding with Particle-Driven Neural
Radiance Fields [65.07940731309856]
Deep learning has shown great potential for modeling the physical dynamics of complex particle systems such as fluids.
In this paper, we consider a partially observable scenario known as fluid dynamics grounding.
We propose a differentiable two-stage network named NeuroFluid.
It is shown to reasonably estimate the underlying physics of fluids with different initial shapes, viscosity, and densities.
arXiv Detail & Related papers (2022-03-03T15:13:29Z) - Mechanism for particle fractionalization and universal edge physics in
quantum Hall fluids [58.720142291102135]
We advance a second-quantization framework that helps reveal an exact fusion mechanism for particle fractionalization in FQH fluids.
We also uncover the fundamental structure behind the condensation of non-local operators characterizing topological order in the lowest-Landau-level (LLL)
arXiv Detail & Related papers (2021-10-12T18:00:00Z) - 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)
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.