Squeezed coherent states for gravitational well in noncommutative space

• URL: http://arxiv.org/abs/2007.06487v2
• Date: Fri, 14 Aug 2020 08:29:19 GMT
• Title: Squeezed coherent states for gravitational well in noncommutative space
• Authors: Kalpana Biswas, Jyoti Prasad Saha and Pinaki Patra
• Abstract summary: We have studied the quantum gravitational well (GW) under the shed of noncommutative (NC) space. We have considered both position-position and momentum-momentum noncommutativity. We have shown that the solutions of the time-dependent Schr"odinger equation are squeezed-coherent states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Gravitational well is a widely used system for the verification of the quantum weak equivalence principle (WEP). We have studied the quantum gravitational well (GW) under the shed of noncommutative (NC) space so that the results can be utilized for testing the validity of WEP in NC-space. To keep our study widely usable, we have considered both position-position and momentum-momentum noncommutativity. Since coherent state (CS) structure provides a natural bridging between the classical and quantum domain descriptions, the quantum domain validity of purely classical phenomena like free-fall under gravity might be verified with the help of CS. We have constructed CS with the aid of a Lewis-Riesenfeld phase space invariant operator. From the uncertainty relations deduced from the expectation values of the observables, we have shown that the solutions of the time-dependent Schr\"{o}dinger equation are squeezed-coherent states.

Related papers

• Relativistic Dips in Entangling Power of Gravity [0.0]
  We show that quantum correlations can remain strongly suppressed for certain choices of parameters. We find a pronounced cancellation point far from the Planck scale, where the system tends towards classicalization.
  arXiv  Detail & Related papers  (2024-05-07T20:44:30Z)
• Effective dynamics of quantum fluctuations in field theory: with applications to cosmology [3.164510639842928]
  We develop a novel framework for describing quantum fluctuations in field theory. Our findings offer fresh insights into the early universe's quantum fluctuations and potential explanations to large-scale CMB anomalies.
  arXiv  Detail & Related papers  (2023-12-26T19:01:24Z)
• A Realist Interpretation of Unitarity in Quantum Gravity [0.0]
  Unitarity is a difficult concept to implement in canonical quantum gravity because of state non-normalizability and the problem of time. We use the postulate of a definite configuration in the theory to define a global time for the gravitational-fermionic system. We find unitary states in mini-superspace by finding an approximate solution to the Hamiltonian constraint.
  arXiv  Detail & Related papers  (2023-10-23T17:56:28Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Overlapping qubits from non-isometric maps and de Sitter tensor networks [41.94295877935867]
  We show that processes in local effective theories can be spoofed with a quantum system with fewer degrees of freedom. We highlight how approximate overlapping qubits are conceptually connected to Hilbert space dimension verification, degree-of-freedom counting in black holes and holography.
  arXiv  Detail & Related papers  (2023-04-05T18:08:30Z)
• Gravitational quantum collapse in dilute systems [0.0]
  We use the GBC (Gravitational Bohmian Collapse) model citeGBC, which provides such a dynamics. The effects of collapse in dilute quantum systems are investigated, both in ordinary 3D space and in configuration space.
  arXiv  Detail & Related papers  (2022-05-17T16:07:38Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity [0.0]
  We consider two interacting systems when one is treated classically while the other system remains quantum. We prove that such hybrid dynamics necessarily results in decoherence of the quantum system, and a breakdown in predictability in the classical phase space. Applying the trade-off relation to gravity, we find a relationship between the strength of gravitationally-induced decoherence versus diffusion of the metric and its conjugate momenta.
  arXiv  Detail & Related papers  (2022-03-03T19:52:11Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• 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)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.