Quantum nonlinear optics on the edge of small lattice fractional quantum Hall fluids
- URL: http://arxiv.org/abs/2403.10598v2
- Date: Wed, 20 Mar 2024 09:21:37 GMT
- Title: Quantum nonlinear optics on the edge of small lattice fractional quantum Hall fluids
- Authors: Alberto Nardin, Daniele De Bernardis, Rifat Onur Umucalilar, Leonardo Mazza, Matteo Rizzi, Iacopo Carusotto,
- Abstract summary: We study the quantum dynamics of the edge modes of lattice fractional quantum Hall liquids in response to time-dependent external potentials.
We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattice geometries.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the quantum dynamics of the edge modes of lattice fractional quantum Hall liquids in response to time-dependent external potentials. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattice geometries away from the continuum limit that are available in state-of-the-art experiments. Experimentally accessible signatures of the quantized value of the bulk transverse Hall conductivity are identified both in the linear and the non-linear response to an external excitation. The strong nonlinearity induced by the open boundaries is responsible for sizable quantum blockade effects, leading to the generation of nonclassical states of the edge modes.
Related papers
- Hysteresis and Self-Oscillations in an Artificial Memristive Quantum Neuron [79.16635054977068]
We study an artificial neuron circuit containing a quantum memristor in the presence of relaxation and dephasing.
We demonstrate that this physical principle enables hysteretic behavior of the current-voltage characteristics of the quantum device.
arXiv Detail & Related papers (2024-05-01T16:47:23Z) - Nonlinear response theory for lossy superconducting quantum circuits [0.0]
We introduce a numerically exact and yet computationally feasible nonlinear response theory for lossy superconducting quantum circuits.
We derive a weak-coupling approximation in the presence of a drive, and demonstrate the applicability of our formalism through a study on the dispersive readout of a superconducting qubit.
arXiv Detail & Related papers (2023-10-24T12:53:10Z) - Microscopic theory of nonlinear phase space filling in polaritonic lattices [16.34646723046073]
We develop a full microscopic theory for a nonlinear phase space filling (NPSF) in strongly coupled two-dimensional polaritonic lattices.
We go beyond the existing theoretical description and discover the broad scope of regimes where NPSF crucially modifies the optical response.
Our findings can help describing recent observations of strong nonlinearity in heterobilayers of transition metal dichalcogenides.
arXiv Detail & Related papers (2022-12-15T17:02:33Z) - Probing the symmetry breaking of a light--matter system by an ancillary
qubit [50.591267188664666]
Hybrid quantum systems in the ultrastrong, and even more in the deep-strong, coupling regimes can exhibit exotic physical phenomena.
We experimentally observe the parity symmetry breaking of an ancillary Xmon artificial atom induced by the field of a lumped-element superconducting resonator.
This result opens a way to experimentally explore the novel quantum-vacuum effects emerging in the deep-strong coupling regime.
arXiv Detail & Related papers (2022-09-13T06:14:08Z) - Nonlinear speed-ups in ultracold quantum gases [0.0]
We analyze whether and to what extent such nonlinear effects can be exploited to enhance the rate of quantum evolution.
We find that the quantum speed limit grows with the strength of the nonlinearity, yet it does not trivially scale with the degree'' of nonlinearity.
arXiv Detail & Related papers (2022-06-27T15:14:47Z) - Linear and nonlinear edge dynamics of trapped fractional quantum Hall
droplets beyond the chiral Luttinger liquid paradigm [0.0]
numerical studies of the linear and nonlinear edge dynamics of a non-harmonically confined macroscopic fractional quantum Hall fluid.
nonlinear chiral Luttinger liquid quantum Hamiltonian that reduces to a driven Korteweg-de Vries equation in the semiclassical limit.
arXiv Detail & Related papers (2022-03-03T09:04:47Z) - Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically
Induced Transparency [0.0]
We consider the quantum effect of slow light dark soliton (SLDS) in a cold atomic gas with defocuing Kerr nonlinearity via electromagnetically induced transparency (EIT)
We calculate the quantum fluctuations of the SLDS by solving the relevant non-Hermitian eigenvalue problem describing the quantum fluctuations.
We demonstrate that, due to the large Kerr nonlinearity contributed from the EIT effect, a significant quantum squeezing of the SLDS can be realized.
arXiv Detail & Related papers (2022-02-21T05:33:48Z) - Designing Kerr Interactions for Quantum Information Processing via
Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes.
Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation.
Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
arXiv Detail & Related papers (2021-07-14T15:11:05Z) - Quantum Mollow Quadruplet in Non-linear Cavity-QED [0.0]
We develop an exact analytical approach to the optical response of a quantum dot-microcavity system for arbitrary excitation strengths.
The response is determined in terms of the complex amplitudes of transitions between the rungs of the Jaynes-Cummings ladder.
A closed-form analytic approximation for the QMQ of any order of nonlinearity is found in the high-field low-damping limit.
arXiv Detail & Related papers (2021-07-02T17:58:40Z) - The role of boundary conditions in quantum computations of scattering
observables [58.720142291102135]
Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution.
As with present-day calculations, quantum computation strategies still require the restriction to a finite system size.
We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
arXiv Detail & Related papers (2020-07-01T17:43:11Z) - Direct Observation of Quantum Percolation Dynamics [17.139263992803212]
We present an experimental demonstration of quantum transport in hexagonal percolation lattices.
A quantum percolation threshold of 80% is observed in the prototyped laser-written lattices with up to 1,600 waveguides.
Direct observation of quantum percolation may deepen the understanding of the relation among materials, quantum transport, geometric quenching, disorder and localization.
arXiv Detail & Related papers (2020-01-01T20:59:05Z)
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.