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A droplet bouncing on a liquid bath can self-propel due to its interaction with the waves it generates. The resulting "walker" is a dynamical association where, at a macroscopic scale, a particle (the droplet) is driven by a pilot-wave…

Soft Condensed Matter · Physics 2013-07-24 Emmanuel Fort , Antonin Eddi , Arezki Boudaoud , Julien Moukhtar , Yves Couder

A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be…

The form of the eigenstates of an atom coupled to a cavity mode displaying a three dimensional periodic profile are obtained. It is shown that the quantized motion leads to degenerate states where the atomic degrees of freedom are masked,…

Quantum Physics · Physics 2020-02-19 R. Gutiérrez-Jáuregui

In this research, we investigate the quantum and classical phase transitions of the Dirac particles in a homogeneously magnetized curved rotating 2+1 dimensional spacetime. We consider the intricate relationship between geometry and quantum…

General Relativity and Quantum Cosmology · Physics 2024-09-30 Nusret Sahan , Erdem Sucu

We obtain the geometric phase for states of a particle in a spherical infinite potential well with a moving wall in two different cases; First, when the radius of the well increases (or decreases) monotonically. Second, when the radius…

Quantum Physics · Physics 2023-09-20 Reza Moazzemi , Seyed Mahdi Fazeli

We present a generally covariant approach to quantum mechanics in which generalized positions, momenta and time variables are treated as coordinates on a fundamental "phase-spacetime." We show that this covariant starting point makes…

High Energy Physics - Theory · Physics 2018-05-31 Gabriel Herczeg , Andrew Waldron

In the first part of this review we introduce the basics theory behind geometric phases and emphasize their importance in quantum theory. The subject is presented in a general way so as to illustrate its wide applicability, but we also…

Quantum Physics · Physics 2007-05-23 Vlatko Vedral

In this paper, we show how the restriction of the Quantum Geometric Tensor to manifolds of states that can be generated through local interactions provides a new tool to understand the consequences of locality in physics. After a review of…

Quantum Physics · Physics 2021-07-15 Davide Rattacaso , Patrizia Vitale , Alioscia Hamma

Quantum particles confined to surfaces in higher dimensional spaces are acted upon by forces that exist only as a result of the surface geometry and the quantum mechanical nature of the system. The dynamics are particularly rich when…

High Energy Physics - Theory · Physics 2009-11-10 P. C. Schuster , R. L. Jaffe

In certain scenarios of deformed relativistic symmetries relevant for non-commutative field theories particles exhibit a momentum space described by a non-abelian group manifold. Starting with a formulation of phase space for such particles…

High Energy Physics - Theory · Physics 2011-02-28 Michele Arzano

Quantum transients are temporary features of matter waves before they reach a stationary regime. Transients may arise after the preparation of an unstable initial state or due to a sudden interaction or a change in the boundary conditions.…

Quantum Physics · Physics 2011-05-05 A. del Campo , G. Garcia-Calderon , J. G. Muga

The experimental progress in synthesizing low-dimensional nanostructures where carriers are confined to bent surfaces has boosted the interest in the theory of quantum mechanics on curved two-dimensional manifolds. It was recently asserted…

Mesoscale and Nanoscale Physics · Physics 2012-12-03 Carmine Ortix , Jeroen van den Brink

Recently, there has been much interest in the evolution of quantum particles on closed time-like curves (CTCs). However, such models typically assume point-like particles with only two degrees of freedom - a very questionable assumption…

General Relativity and Quantum Cosmology · Physics 2012-09-18 J. L. Pienaar , C. R. Myers , T. C. Ralph

We derive the Schroedinger equation for a spinless charged particle constrained to a curved surface with electric and magnetics fields applied. The particle is confined on the surface using a thin-layer procedure, giving rise to the…

Quantum Physics · Physics 2009-04-14 Giulio Ferrari , Giampaolo Cuoghi

The catastrophe theory is applied to a nuclear cluster model and an effective model for QCD at low energy. The study of quantum phase transitions in the cluster model was considered in an earlier publication, but restricted to spherical…

Nuclear Theory · Physics 2021-10-27 David S. Lohr-Robles , Enrique Lopez-Moreno , Peter O. Hess

Quantum information processing is expressed using quantum bits (qubits) and quantum gates which are arranged in the terms of quantum circuits. Here, each qubit is associated to a quantum circuit wire which is used to conduct the desired…

Quantum Physics · Physics 2016-10-26 Alexandru Paler , Robert Wille , Simon J. Devitt

We show that the state of a flying qubit may be transferred to a chain of identical, (near) ferromagnetically polarised, but non-interacting, static spin-1/2 particles in a passive way. During this process the flying qubit is coherently…

Quantum Physics · Physics 2012-08-27 Yuting Ping , John H. Jefferson , Brendon W. Lovett

The extremely fascinating behaviors of the quantum walks of particles, which differ much from the classical counterparts, have attracted many physicists. Here we investigate another interesting part of the quantum walks, that is the quantum…

Quantum Physics · Physics 2010-11-23 Tian-Li Feng , Yong-Sheng Zhang , Guang-Ming Zhao , Sheng Liu , Guang-Can Guo

The application of geometry to physics has provided us with new insightful information about many physical theories such as classical mechanics, general relativity, and quantum geometry (quantum gravity). The geometry also plays an…

Quantum Physics · Physics 2015-06-19 Hoshang Heydari

We demonstrate that the quantum communication between two parties can be significantly improved if the receiver is allowed to store the received signals in a quantum memory before decoding them. In the limit of an infinite memory, the…

Quantum Physics · Physics 2007-05-23 Vittorio Giovannetti , Daniel Burgarth
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