Time Crystals and Phase-Space Noncommutative Quantum Mechanics
- URL: http://arxiv.org/abs/2402.18238v1
- Date: Wed, 28 Feb 2024 11:08:47 GMT
- Title: Time Crystals and Phase-Space Noncommutative Quantum Mechanics
- Authors: Orfeu Bertolami, A.E. Bernardini
- Abstract summary: We argue that time crystal properties naturally arise from phase-space noncommutative quantum mechanics.
We consider the 2-dimensional noncommutative quantum harmonic oscillator and show that it exibihits periodic oscillations that can be identified as time crystals.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We argue that time crystal properties naturally arise from phase-space
noncommutative quantum mechanics. In order to exemplify our point we consider
the 2-dimensional noncommutative quantum harmonic oscillator and show that it
exibihits periodic oscillations that can be identified as time crystals.
Related papers
- Thermodynamics of coupled time crystals with an application to energy storage [0.0]
We study the thermodynamics and fluctuating behavior of two interacting boundary time crystals.
We exploit our theoretical derivation to explore possible applications of time crystals as quantum batteries.
arXiv Detail & Related papers (2024-11-07T16:21:26Z) - Observation of a time crystal comb in a driven-dissipative system with Rydberg gas [2.4898174182192974]
Time crystals manifest as stable and periodic behavior that breaks time translation symmetry.
In an open quantum system, many-body interaction subjected to dissipation allows one to develop the time crystalline order in an unprecedented way.
We report the observation of a time crystal comb in the continuously driven-dissipative and strongly interacting Rydberg thermal gas.
arXiv Detail & Related papers (2024-02-20T16:09:29Z) - Dissipative time crystal in a strongly interacting Rydberg gas [14.07614057267722]
We report the experimental observation of such dissipative time crystalline order in a room-temperature atomic gas.
The observed limit cycles arise from the coexistence and competition between distinct Rydberg components.
The nondecaying autocorrelation of the oscillation, together with the robustness against temporal noises, indicate the establishment of true long-range temporal order.
arXiv Detail & Related papers (2023-05-31T17:44:32Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Emergent time crystals from phase-space noncommutative quantum mechanics [0.0]
We show that noncommutativity drives the amplitude of periodic oscillations identified as time crystals.
A natural extension of our analysis shows how the spontaneous formation of time quasi-crystals can arise.
arXiv Detail & Related papers (2022-07-01T11:24:26Z) - The role of fluctuations in quantum and classical time crystals [58.720142291102135]
We study the role of fluctuations on the stability of the system and find no distinction between quantum and classical DTCs.
This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
arXiv Detail & Related papers (2022-03-10T19:00:01Z) - Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space.
We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
arXiv Detail & Related papers (2021-07-02T09:17:55Z) - 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) - A dissipative time crystal with or without $\mathbb Z_2$ symmetry
breaking [0.0]
We study an emergent semiclassical time crystal composed of two interacting bosonic modes.
The system has a discrete $mathbb Z$ spatial symmetry which, depending on the strength of the drive, can be broken in the time-crystalline phase or it cannot.
arXiv Detail & Related papers (2020-04-06T17:47:16Z) - Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations.
We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
arXiv Detail & Related papers (2020-03-04T14:01:17Z) - Interference of Clocks: A Quantum Twin Paradox [39.645665748998816]
Phase of matter waves depends on proper time and is susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation.
It is conceivable that atom interferometers measure general-relativistic time-dilation effects.
We show that closed light-pulse interferometers without clock transitions during the pulse sequence are not sensitive to gravitational time dilation in a linear potential.
arXiv Detail & Related papers (2019-05-22T12:30:57Z)
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.