Generalized coherent states of exceptional Scarf-I potential: Their
spatio-temporal and statistical properties
- URL: http://arxiv.org/abs/2107.05229v1
- Date: Mon, 12 Jul 2021 07:20:33 GMT
- Title: Generalized coherent states of exceptional Scarf-I potential: Their
spatio-temporal and statistical properties
- Authors: T. Shreecharan and S. Sree Ranjani
- Abstract summary: We construct generalized coherent states for the extended rationally-I Scarf-I potential.
Special emphasis is given to the study of the coherent states via the quantum carpet structure and the auto-correlation function.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We construct generalized coherent states for the rationally extended Scarf-I
potential. Statistical and geometrical properties of these states are
investigated. Special emphasis is given to the study of spatio-temporal
properties of the coherent states via the quantum carpet structure and the
auto-correlation function. Through this study, we aim to find the signature of
the `"rationalisation" of the conventional potentials and the classical
orthogonal polynomials.
Related papers
- Coherent states for the exotic Landau problem and related properties [0.0]
This work presents a comprehensive study of the exotic Landau model in a two-dimensional noncommutative plane.<n>Coherent states satisfying all Klauder's criteria are explicitly constructed, and their physical properties are rigorously proven.
arXiv Detail & Related papers (2026-02-11T21:58:21Z) - Simulation of quantum contextuality with invasive-measurement maps [0.0]
Contextuality is a defining feature that separates the quantum from the classical descriptions of physical systems.<n>We introduce a general method to characterize contextuality through linear maps.
arXiv Detail & Related papers (2025-07-22T18:28:40Z) - Quantum-like states from classical systems [0.0]
This work studies how a suitably-designed classical system generates with a quantum-like (QL) state space mediated by a graph.<n>The question of whether and, if so, how, entanglement can be exhibited by these QL systems is discussed critically and contrasted to the concept of classical entanglement' in optics.
arXiv Detail & Related papers (2025-07-01T17:17:53Z) - Isospectrality and non-locality of generalized Dirac combs [41.94295877935867]
We consider a generalization of Dirac's comb model, describing a non-relativistic particle moving in a periodic array of generalized point interactions.<n>We classify a large class of isospectral relations, determining which Hamiltonians are spectrally unique, and which are instead related by a unitary or anti-unitary transformation.
arXiv Detail & Related papers (2025-05-23T13:58:50Z) - Exact quantum critical states with a superconducting quantum processor [17.380822949477384]
Anderson localization physics features three fundamental types of eigenstates: extended, localized, and critical.<n>We report the unambiguous experimental realization of critical states governed by a rigorous mechanism for exact quantum critical states.<n>We resolve the energy-dependent transition between localized and critical states, revealing the presence of anomalous mobility edges.
arXiv Detail & Related papers (2025-02-26T14:47:38Z) - Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos [44.99833362998488]
We develop an analytical approach to the spectral form factor and out-of-time ordered correlators in zero-dimensional Brownian models of quantum chaos.
arXiv Detail & Related papers (2024-10-21T10:56:49Z) - Quantum-electrodynamical density-functional theory for the Dicke Hamiltonian [0.0]
A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided.
In particular, the quantum Rabi model, the Dicke model, and the latter to multiple modes are considered.
arXiv Detail & Related papers (2024-09-18T12:53:36Z) - How Spurious Features Are Memorized: Precise Analysis for Random and NTK Features [19.261178173399784]
We consider spurious features that are uncorrelated with the learning task.
We provide a precise characterization of how they are memorized via two separate terms.
We prove that the memorization of spurious features weakens as the generalization capability increases.
arXiv Detail & Related papers (2023-05-20T05:27:41Z) - Truncated generalized coherent states [0.0]
A class of generalized coherent states is determined for the distribution of excitations.
The statistics is uniquely sub-Poissonian for large values of the label.
As particular cases, truncated Wright generalized coherent states exhibit uniquely non-classical properties.
arXiv Detail & Related papers (2022-09-29T23:20:25Z) - Spreading of a local excitation in a Quantum Hierarchical Model [62.997667081978825]
We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase.
An initial state made by a local excitation of the paramagnetic ground state is considered.
A localization mechanism is found and the excitation remains close to its initial position at arbitrary times.
arXiv Detail & Related papers (2022-07-14T10:05:20Z) - Mean hitting time formula for positive maps [0.0]
We present an analogous construction for the setting of irreducible, positive, trace preserving maps.
The problem at hand is motivated by questions on quantum information theory.
arXiv Detail & Related papers (2022-03-21T01:25:25Z) - Convex Analysis of the Mean Field Langevin Dynamics [49.66486092259375]
convergence rate analysis of the mean field Langevin dynamics is presented.
$p_q$ associated with the dynamics allows us to develop a convergence theory parallel to classical results in convex optimization.
arXiv Detail & Related papers (2022-01-25T17:13:56Z) - Non-standard entanglement structure of local unitary self-dual models as
a saturated situation of repeatability in general probabilistic theories [61.12008553173672]
We show the existence of infinite structures of quantum composite system such that it is self-dual with local unitary symmetry.
We also show the existence of a structure of quantum composite system such that non-orthogonal states in the structure are perfectly distinguishable.
arXiv Detail & Related papers (2021-11-29T23:37:58Z) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Localisation in quasiperiodic chains: a theory based on convergence of
local propagators [68.8204255655161]
We present a theory of localisation in quasiperiodic chains with nearest-neighbour hoppings, based on the convergence of local propagators.
Analysing the convergence of these continued fractions, localisation or its absence can be determined, yielding in turn the critical points and mobility edges.
Results are exemplified by analysing the theory for three quasiperiodic models covering a range of behaviour.
arXiv Detail & Related papers (2021-02-18T16:19:52Z) - Exact Quantized Momentum Eigenvalues and Eigenstates of a General
Potential Model [0.0]
We obtain the quantized momentum eigenvalues, $P_n$.
We also plot the variations of the general molecular potential with its two special cases and their momentum states for few quantized states against the screening parameter.
arXiv Detail & Related papers (2020-07-27T20:05:11Z) - Extensions of Hardy-type true-implies-false gadgets to classically
obtain indistinguishability [0.0]
Hardy-type arguments can be uniformly presented and extended as collections of intertwined contexts and their observables.
They serve as graph-theoretic "gadgets" that enforce correlations on the respective preselected and postselected observable terminal points.
arXiv Detail & Related papers (2020-06-22T10:43:15Z) - Emergence of classical behavior in the early universe [68.8204255655161]
Three notions are often assumed to be essentially equivalent, representing different facets of the same phenomenon.
We analyze them in general Friedmann-Lemaitre- Robertson-Walker space-times through the lens of geometric structures on the classical phase space.
The analysis shows that: (i) inflation does not play an essential role; classical behavior can emerge much more generally; (ii) the three notions are conceptually distinct; classicality can emerge in one sense but not in another.
arXiv Detail & Related papers (2020-04-22T16:38:25Z)
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.