Perturbative Construction of Coherent States

• URL: http://arxiv.org/abs/2311.18650v1
• Date: Thu, 30 Nov 2023 15:59:13 GMT
• Title: Perturbative Construction of Coherent States
• Authors: Lasha Berezhiani, Giordano Cintia and Michael Zantedeschi
• Abstract summary: We show that a non-Gaussian alteration of squeezed coherent states is necessary. The modifications of the coherent state we propose are perturbative in $hbar$ and may be an indication that coherence must be viewed through a nonlinearly redefined, background-dependent, degree of freedom.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The perturbative consistency of coherent states within interacting quantum field theory requires them to be altered beyond the simple non-squeezed form. Building on this point, we perform explicit construction of consistent squeezed coherent states, required by the finiteness of physical quantities at the one-loop order. Extending this analysis to two-loops, we demonstrate that a non-Gaussian alteration of squeezed coherent states is necessary. The modifications of the coherent state we propose are perturbative in $\hbar$ and may be an indication that coherence must be viewed through a nonlinearly redefined, background-dependent, degree of freedom.

Related papers

• Generation of entanglement and non-stationary states via competing coherent and incoherent bosonic hopping [0.0]
  Incoherent processes added to unitary dynamics are typically deemed detrimental since they are expected to diminish quantum features such as superposition and entanglement. We show that the mere addition of incoherent hopping, which results in a statistical coupling between the bosonic modes, leads to steady states with robust quantum entanglement.
  arXiv  Detail & Related papers  (2025-01-16T19:00:02Z)
• Non-equilibrium dynamics of charged dual-unitary circuits [44.99833362998488]
  interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. We show that one can introduce a class of solvable states, which extends that of generic dual unitary circuits. In contrast to the known class of solvable states, which relax to the infinite temperature state, these states relax to a family of non-trivial generalised Gibbs ensembles.
  arXiv  Detail & Related papers  (2024-07-31T17:57:14Z)
• Frequency-resolved Purcell effect for the dissipative generation of steady-state entanglement [49.1574468325115]
  We report a driven-dissipative mechanism to generate stationary entangled $W$ states among strongly-interacting quantum emitters placed within a cavity. The non-harmonic energy structure of the interacting ensemble allows this transition to be resonantly selected by the cavity. Evidence of this purely dissipative mechanism should be observable in state-of-the-art cavity QED systems in the solid-state.
  arXiv  Detail & Related papers  (2023-12-19T18:04:22Z)
• A new class of exact coherent states: enhanced quantization of motion on the half-line [0.16385815610837165]
  We find a class of dynamically stable coherent states for motion on the half-line. The regularization of the half-line boundary and the consequent quantum motion are expounded within the framework of covariant affine quantization. Our discovery holds significant relevance in the field of quantum cosmology.
  arXiv  Detail & Related papers  (2023-10-25T13:19:24Z)
• Quantum coherence between subspaces: State transformation, Cohering Power, $k$-coherence and other properties [0.0]
  We develop a framework which facilitates further investigation of bock-coherence. We define the concept of block-cohering and block-decohering powers of quantum channels. We explore the relation between block coherence and a previous extension of coherence, known as $k$-coherence.
  arXiv  Detail & Related papers  (2023-02-25T20:09:59Z)
• A Quantum Optimal Control Problem with State Constrained Preserving Coherence [68.8204255655161]
  We consider a three-level $Lambda$-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels. We formulate the quantum optimal control problem with state constraints where the decoherence level remains within a pre-defined bound.
  arXiv  Detail & Related papers  (2022-03-24T21:31:34Z)
• Quantum speed limit and stability of coherent states in quantum gravity [0.0]
  We investigate the dynamical properties of coherent states for Loop Quantum Gravity. The Quantum Speed Limit is adapted to Quantum Gravity, yielding consistency checks for any proposal of stable families of states. We report the variance of this constraint evaluated on a family of coherent states showing that, for short times, this family passes the Quantum Speed Limit test.
  arXiv  Detail & Related papers  (2021-12-02T20:29:18Z)
• Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
  An important problem in any quantum resource theory is to determine how quantum states can be converted into each other. Very few results have been presented on the intermediate regime between probabilistic and approximate transformations. We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations. We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
  arXiv  Detail & Related papers  (2021-11-24T17:29:43Z)
• Background Field Method and Initial-Time Singularity for Coherent States [0.0]
  The background field method is adopted for studying the dynamics of coherent states within an interacting scalar field theory. The quantum depletion of the expectation value of the field-operator is demonstrated to be due to the annihilation of the condensate constituents into relativistic quanta.
  arXiv  Detail & Related papers  (2021-08-30T13:43:40Z)
• 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)
• Comment on "Strong Quantum Darwinism and Strong Independence are Equivalent to Spectrum Broadcast Structure" [62.997667081978825]
  We show that the mathematical formulation of condition (b) is necessary but not sufficient to ensure the equivalence. We propose a simple counter-example, together with a strengthened formulation of condition (b)
  arXiv  Detail & Related papers  (2021-01-21T16:06:25Z)
• Topologically inequivalent quantizations [0.0]
  We find that the usual thermodynamic limit is not necessary in order to have the inequivalent representations needed for the existence of physically disjoint phases of the system. This is a new type of inequivalence, due to the nontrivial topological structure of the phase space, that appears at finite volume.
  arXiv  Detail & Related papers  (2020-12-17T20:50:11Z)

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.