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A non-linear relativistic 4D field model of a quantum particle which emerges from the internal dynamics in the quantum phase space $CP(N-1)$ is proposed. In this model there is no distinction between `particle' and its `surrounding field',…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Leifer , L. P. Horwitz

The notion of symmetry is shown to be at the heart of all error correction/avoidance strategies for preserving quantum coherence of an open quantum system S e.g., a quantum computer. The existence of a non-trivial group of symmetries of the…

Quantum Physics · Physics 2007-05-23 P. Zanardi

A method for constructing coherent states (CS) of finite-level systems with a given angular momentum is proposed. To this end we generalize the known spin equation (SE) to an infinite-dimensional Fock space. The equation describes a special…

Quantum Physics · Physics 2025-06-13 A. I. Breev , D. M. Gitman

The coherent process of particle deflection by aligned atomic strings and planes of oriented crystals is accompanied by incoherent scattering by atomic cores. While the coherent particle deflection, described by the axial or planar averaged…

Accelerator Physics · Physics 2020-04-14 Victor V. Tikhomirov

Recurrence time quantifies the duration required for a physical system to return to its initial state, playing a pivotal role in understanding the predictability of complex systems. In quantum systems with subspace measurements, recurrence…

Statistical Mechanics · Physics 2024-01-19 Quancheng Liu , David A. Kessler , Eli Barkai

Discussed is the quantized version of the classical description of collective and internal affine modes as developed in Part I. We perform the Schr\"odinger quantization and reduce effectively the quantized problem from $n^{2}$ to $n$…

We revise the problem of the quantization of relativistic particle models (spinless and spinning), presenting a modified consistent canonical scheme. One of the main point of the modification is related to a principally new realization of…

High Energy Physics - Theory · Physics 2016-12-28 S. P. Gavrilov , D. M. Gitman

In this paper, we analyse the quantum coherence behaviors of a single qubit in the relativistic regime beyond the single-mode approximation. Firstly, we investigate the freezing condition of quantum coherence in fermionic system. We also…

Quantum Physics · Physics 2019-05-01 Zhiming Huang , Haozhen Situ , Cai Zhang

A phase space treatment of special relativity of quantum systems is developed. In this approach a quantum particle remains localized if subject to inertial transformations, the localization occurring in a finite phase space area. Unlike…

Quantum Physics · Physics 2008-03-07 Daniela Dragoman

We investigate the feasibility of extracting infinite volume scattering phase shift on quantum computers in a simple one-dimensional quantum mechanical model, using the formalism established in Ref.~\cite{Guo:2023ecc} that relates the…

Quantum Physics · Physics 2026-03-09 Peng Guo , Paul LeVan , Frank X. Lee , Yong Zhao

We revisit the question of how a definite phase between Bose-Einstein condensates can spontaneously appear under the effect of measurements. We first consider a system that is the juxtaposition of two subsystems in Fock states with high…

Quantum Physics · Physics 2016-08-16 Franck Laloë

We show that quantum computation can be performed in a system at thermal equilibrium if a spontaneous symmetry breaking occurs. The computing process is associated to the time evolution of the statistical average of the qubit coherence…

Statistical Mechanics · Physics 2007-05-23 F. de Pasquale , S. M. Giampaolo

The main principle of affine quantum gravity is the strict positivity of the matrix \{\hat g_{ab}(x)\} composed of the spatial components of the local metric operator. Canonical commutation relations are incompatible with this principle,…

General Relativity and Quantum Cosmology · Physics 2010-03-15 John R. Klauder

Quantization with coherent states allows to " quantize " any space X of parameters. In the case where X is a phase space, this leads to the usual quantum mechanics. But the procedure is much more general, and does not require a symplectic,…

Mathematical Physics · Physics 2007-05-23 Marc Lachieze Rey , Jean-Pierre Gazeau , Eric Huguet , Jacques Renaud , Tarik Garidi

An algebraic formalism for description of quantum states of charged particle with spin moving in two-dimensional space under influence of singular magnetic field is developed in terms of graded algebras. The fundamental assumption is that…

q-alg · Mathematics 2009-10-30 Wladyslaw Marcinek

A question is studied whether an observer can discover quantum gravity being in the semi-classical regime. It is shown that it is indeed possible to probe a certain quantum gravity effect by employing an appropriately designed detector. The…

High Energy Physics - Theory · Physics 2016-01-06 Slava Emelyanov

We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization instead of canonical quantization. We consider the Robertson-Walker metric coupled to a…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Herve Bergeron , Andrea Dapor , Jean Pierre Gazeau , Przemyslaw Malkiewicz

Airy beams are known for displaying shape invariance and self-acceleration along the transverse direction while they propagate forwards. Although these properties could be associated with the beam coherence, it has been revealed that they…

Quantum Physics · Physics 2022-11-17 R. Martínez-Herrero , A. S. Sanz

Recent proposals for a nontrivial quantization of covariant, nonrenormalizable, self-interacting, scalar quantum fields have emphasized the importance of quantum fields that obey affine commutation relations rather than canonical…

High Energy Physics - Theory · Physics 2011-03-28 John R. Klauder

We study the motion of a charged quantum particle, constrained on the surface of a cylinder, in the presence of a radial magnetic field. When the spin of the particle is neglected, the system essentially reduces to an infinite family of…

Quantum Physics · Physics 2007-05-23 C. Chryssomalakos , A. Franco , A. Reyes-Coronado