Related papers: Fate of the spatial-temporal order under quantum fluctuation

Fate of the spatial-temporal order under quantum fluctuation

URL: http://arxiv.org/abs/2411.04687v1
Date: Thu, 07 Nov 2024 13:18:44 GMT
Title: Fate of the spatial-temporal order under quantum fluctuation
Authors: Xiaotian Nie, Wei Zheng,
Abstract summary: We investigate the dynamics beyond mean-field approximation. Results show that the spatial-temporal lattice is melted in the mean-field level but survives in the quantum fluctuation.
Score: 3.8121150313479655
License:
Abstract: In a previous theoretical work [arXiv:2205.01461], T. Esslinger group proposed a scheme to realize a spatial-temporal lattice, which possesses dual periodicity on space and time, in a cavity-boson system pumped by a travelling wave laser. However, the prediction was made under the mean-field approximation. In this work, we investigate the dynamics beyond mean-field approximation. By including the fluctuation of the cavity field, we obtain a larger set of equations of motion. Numerical results show that the spatial-temporal lattice is melted in the mean-field level but survives in the quantum fluctuation.

Related papers

Accelerated detector in a superposed spacetime [0.0]
We find resonance peaks in the detector response at rational ratios of the superposed compactified lengths, which we observe to be accentuated by the acceleration of the detector. For the first time we confirm the detailed balance condition due to acceleration in a superposition of spacetimes, commensurate with the Unruh effect in a single spacetime state.
arXiv Detail & Related papers (2024-09-10T18:56:56Z)
Entanglement Entropy in Scalar Quantum Electrodynamics [0.0]
We find the entanglement entropy of a subregion of the vacuum state in scalar quantum electrodynamics. We derive the Maxwell-Proca propagator in conical Euclidean space.
arXiv Detail & Related papers (2024-01-18T19:00:11Z)
Exotic quantum liquids in Bose-Hubbard models with spatially-modulated symmetries [0.0]
We investigate the effect that spatially modulated continuous conserved quantities can have on quantum ground states. We show that such systems feature a non-trivial Hilbert space fragmentation for momenta incommensurate with the lattice. We conjecture that a Berezinskii-Kosterlitz-Thouless-type transition is driven by the unbinding of vortices along the temporal direction.
arXiv Detail & Related papers (2023-07-17T18:14:54Z)
Quantum dynamics via a hidden Liouville space [0.0]
We introduce a nonstandard iterative technique where time interval is divided into a large number of discrete subintervals with an ultrashort duration. We choose two-state spin raising and lowering operators for virtual space operators because of their simple algebra. We implement our technique for an example of a charged particle in both harmonic and anharmonic potentials.
arXiv Detail & Related papers (2023-04-18T20:12:06Z)
Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
arXiv Detail & Related papers (2022-12-02T18:28:23Z)
Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
arXiv Detail & Related papers (2021-08-13T01:44:24Z)
Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
arXiv Detail & Related papers (2021-02-08T14:55:44Z)
Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z)
Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit [58.720142291102135]
Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties. We experimentally study a synthetic quantum Hall effect with a two-tone drive.
arXiv Detail & Related papers (2020-04-07T15:00:41Z)
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)
Longitudinal magnetization dynamics in the quantum Ising ring: A Pfaffian method based on correspondence between momentum space and real space [4.911435444514558]
We establish the relationship between the two fully aligned ferromagnetic states in real space and the two momentum-space ground states of the classical Ising ring. We provide a Pfaffian formula for calculating real-time dynamics of the parity-breaking longitudinal magnetization.
arXiv Detail & Related papers (2020-01-02T16:42:53Z)

This list is automatically generated from the titles and abstracts of the papers in this site.