Generalized coherent states with shifted (displaced) arguments

• URL: http://arxiv.org/abs/2511.10285v1
• Date: Fri, 14 Nov 2025 01:43:35 GMT
• Title: Generalized coherent states with shifted (displaced) arguments
• Abstract summary: We develop a procedure for constructing generalized coherent states with shifted argument.<n>To examine the properties of coherent states with shifted argument, the rules of the normal operator ordering technique (DOOT) were used.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: In the paper we developed a procedure for constructing generalized coherent states with shifted argument, as a result of the action of the generalized displacement operator. This was based on the action of a pair of nonlinear ladder operators, which generate nonlinear coherent states. To examine the properties of coherent states with shifted argument, the rules of the normal operator ordering technique (DOOT) were used. The results obtained were verified for a series of particular cases, obtaining expressions consistent with those in the literature. The expressions obtained will be, among others, useful in quantum optics, e.g. for calculating the Wigner operator in the representation of coherent states.

Related papers

• A century of coherent states [0.0]
  We propose a way to construct generalized coherent states for anharmonic oscillators.<n>These states are generated by the action of a pair of ladder operators.<n>In addition, the action of these operators is easy to find if the expression for the dimensionless energy eigenvalues is known.
  arXiv  Detail & Related papers  (2026-06-06T22:32:57Z)
• Error bounds for splitting methods in unitary problems [45.88028371034407]
  We present a systematic analysis of both local and global errors arising from arbitrary splitting methods applied to unitary problems.<n>The first is expressed in terms of operator norms, while the second is formulated using norms of commutators and can, under suitable assumptions, be extended to certain classes of operators.
  arXiv  Detail & Related papers  (2026-04-01T15:33:05Z)
• Banach and counting measures, and dynamics of singular quantum states generated by averaging of operator random walks [0.0]
  In this paper the random channels and their compositions in the space of quantum states are studied.<n>The dynamics of quantum states is described in terms of the evolution of the values of quadratic forms of operators.
  arXiv  Detail & Related papers  (2026-03-26T08:12:43Z)
• Some properties of coherent states with singular complex matrix argument [0.0]
  We have shown that this new version of coherent states satisfies all the conditions imposed on coherent states.<n>As applications, we examined the connection between these coherent states and the notions of qubits and von Neuman entropy.
  arXiv  Detail & Related papers  (2026-01-29T19:29:15Z)
• A Reduction of Input/Output Logics to SAT [51.82266520875928]
  Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions.<n>In this paper, an automation approach for I/O logics is presented that makes use of suitable reductions to propositional satisfiability problems.
  arXiv  Detail & Related papers  (2025-08-22T09:22:26Z)
• Characterizing the Expressivity of Transformer Language Models [56.598551673153366]
  We provide an exact characterization of fixed-precision transformers with strict future masking and soft attention.<n>We show that these models are precisely as expressive as a specific fragment of linear temporal logic.<n>We further relate this logic to established classes in formal language theory, automata theory, and algebra.
  arXiv  Detail & Related papers  (2025-05-29T16:30:30Z)
• Assessing non-Gaussian quantum state conversion with the stellar rank [41.94295877935867]
  State conversion is a fundamental task in quantum information processing.<n>We introduce a framework for assessing approximate Gaussian state conversion.<n>We derive bounds for Gaussian state conversion under both approximate and probabilistic conditions.
  arXiv  Detail & Related papers  (2024-10-31T08:13:43Z)
• Four-parameter Mittag-Leffler functions and their associated coherent states [0.0]
  The paper is an example of the application of a mathematical entity (Mittag-Leffler function) in quantum mechanics (coherent states formalism)
  arXiv  Detail & Related papers  (2024-10-25T10:46:21Z)
• Relative Representations: Topological and Geometric Perspectives [50.85040046976025]
  Relative representations are an established approach to zero-shot model stitching.<n>We introduce a normalization procedure in the relative transformation, resulting in invariance to non-isotropic rescalings and permutations.<n>Second, we propose to deploy topological densification when fine-tuning relative representations, a topological regularization loss encouraging clustering within classes.
  arXiv  Detail & Related papers  (2024-09-17T08:09:22Z)
• Abstract ladder operators for non self-adjoint Hamiltonians, with applications [0.0]
  We consider in many details what happens if the Hamiltonian of the system is not self-adjoint. In the second part of the paper we discuss two different examples of our framework: pseudo-quons and a deformed generalized Heisenberg algebra.
  arXiv  Detail & Related papers  (2024-06-30T08:12:25Z)
• An application of the theta operator in generalized hypergeometric coherent states formalism [0.0]
  We examine one of the multiple applications of theta operator xd/dx in quantum mechanics, namely, in the formalism of generalized hypergeometric coherent states (GHG CSs) A series of new results were obtained and some already known ones were found / confirmed. To support the theoretical considerations presented above, we examined, as example, the quantum systems with a linear energy spectrum.
  arXiv  Detail & Related papers  (2024-04-19T18:07:59Z)
• The tilted CHSH games: an operator algebraic classification [77.34726150561087]
  This article introduces a general systematic procedure for solving any binary-input binary-output game. We then illustrate on the prominent class of tilted CHSH games. We derive for those an entire characterisation on the region exhibiting some quantum advantage.
  arXiv  Detail & Related papers  (2023-02-16T18:33:59Z)
• Quantum Bayesian Inference in Quasiprobability Representations [0.0]
  Bayes' rule plays a crucial piece of logical inference in information and physical sciences alike. quantum versions of Bayes' rule have been expressed in the language of Hilbert spaces.
  arXiv  Detail & Related papers  (2023-01-05T08:16:50Z)
• Graphene generalized coherent states [0.0]
  We construct the generalized coherent states for an electron in monolayer or bilayer graphene placed in an external magnetic field. At first we define an appropriate set of ladder operators acting on the eigenfunctions for each Hamiltonian. We derive the generalized coherent states through several definitions and analyze the commutation relationship between the ladder operators.
  arXiv  Detail & Related papers  (2022-05-06T23:09:32Z)
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources [58.720142291102135]
  We show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit. We also consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations.
  arXiv  Detail & Related papers  (2022-04-07T11:49:54Z)
• Relevant OTOC operators: footprints of the classical dynamics [68.8204255655161]
  The OTOC-RE theorem relates the OTOCs summed over a complete base of operators to the second Renyi entropy. We show that the sum over a small set of relevant operators, is enough in order to obtain a very good approximation for the entropy. In turn, this provides with an alternative natural indicator of complexity, i.e. the scaling of the number of relevant operators with time.
  arXiv  Detail & Related papers  (2020-07-31T19:23:26Z)

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.