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In the conventional quantum mechanics (i.e., hermitian QM) the adia- batic theorem for systems subjected to time periodic fields holds only for bound systems and not for open ones (where ionization and dissociation take place) [D. W. Hone,…

Atomic Physics · Physics 2009-11-11 Avner Fleischer , Nimrod Moiseyev

Quantum systems with chaotic classical counterparts cannot be treated by perturbative techniques or any kind of adiabatic approximations. This is so, in spite of the quantum suppression of classical chaos. We explicitly calculate the…

chao-dyn · Physics 2008-02-03 G. Abal , A. J. Pereira , A. Romanelli , A. Sicardi-Schifino

Consider an open quantum system governed by a Gorini, Kossakowski, Sudarshan, Lindblad (GKSL) master equation with two times-scales: a fast one, exponentially converging towards a linear subspace of quasi-equilibria; a slow one resulting…

Quantum Physics · Physics 2023-09-08 François-Marie Le Régent , Pierre Rouchon

Quarkonium production in high-energy heavy-ion collisions remains a key probe of the quark-gluon plasma formed in these reactions, but the development of a fully integrated nonperturbative approach remains a challenge. Toward this end, we…

Nuclear Theory · Physics 2026-04-22 Biaogang Wu , Ralf Rapp

Combining recent perturbative analyses on the static QCD potential and the quark pole mass, we find that, for the heavy quarkonium states $c\bar{c}$, $b\bar{b}$ and $t\bar{t}$, (1) ultra-soft (US) corrections in the binding energies are…

High Energy Physics - Phenomenology · Physics 2015-11-20 Y. Kiyo , G. Mishima , Y. Sumino

A quantum system will stay near its instantaneous ground state if the Hamiltonian that governs its evolution varies slowly enough. This quantum adiabatic behavior is the basis of a new class of algorithms for quantum computing. We test one…

Quantum Physics · Physics 2009-11-07 Edward Farhi , Jeffrey Goldstone , Sam Gutmann , Joshua Lapan , Andrew Lundgren , Daniel Preda

The static properties and dynamic evolution of bottomonium states in a hot QCD medium are investigated through the Schr\"odinger equation with complex heavy quark potentials, which are presented recently in lattice QCD study and with three…

Nuclear Theory · Physics 2024-02-20 Ge Chen , Baoyi Chen , Jiaxing Zhao

It is a fundamental problem to characterize the nonequilibrium processes. For a slowly moving one-dimensional potential, we explore the quasi adiabatic dynamics of the initial energy eigenstates for a confined quantum system interacting…

Statistical Mechanics · Physics 2017-10-11 Takaaki Monnai

Quarkonium production in proton-nucleus collisions is a powerful tool to disentangle cold nuclear matter effects. A model based on coherent energy loss is able to explain the available quarkonium suppression data in a broad range of…

High Energy Physics - Phenomenology · Physics 2015-04-29 François Arleo , Stéphane Peigné

A small body moving in the field of a much larger black hole and subjected to its own gravity moves on an accelerated world line in the background spacetime of the large black hole. The acceleration is produced by the body's gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Adam Pound , Eric Poisson , Bernhard G. Nickel

We study the crossover between the sudden quench limit and the adiabatic dynamics of superconducting states in the attractive Hubbard model. We focus on the dynamics induced by the change of the attractive interaction during a finite ramp…

Strongly Correlated Electrons · Physics 2017-11-10 Giacomo Mazza

An adiabatic method for a single-shot non-demolition measurement of the phase qubit is suggested. The qubit is inductively coupled to a low-frequency resonator, which in turn is connected with a classical measurement device (phase meter).…

Quantum Physics · Physics 2011-09-26 G. P. Berman , A. A. Chumak , D. I. Kamenev , D. Kinion , V. I. Tsifrinovich

Adiabatic quantum optimization is a procedure to solve a vast class of optimization problems by slowly changing the Hamiltonian of a quantum system. The evolution time necessary for the algorithm to be successful scales inversely with the…

Quantum Physics · Physics 2015-12-16 Salvatore Mandrà , Gian Giacomo Guerreschi , Alán Aspuru-Guzik

In this papper, a quantum dynamical model describing the quantum measurement process is presented as an extensive generalization of the Coleman-Hepp model. In both the classical limit with very large quantum number and macroscopic limit…

High Energy Physics - Theory · Physics 2009-10-22 Chang-Pu Sun

We formulate an adiabatic approximation for the imaginary-time Schroedinger equation. The obtained adiabatic condition consists of two inequalities, one of which coincides with the conventional adiabatic condition for the real-time…

Quantum Physics · Physics 2015-08-07 Kazuya Kaneko , Hidetoshi Nishimori

For a potential function (in one dimension) which evolves from a specified initial form $V_{i}(x)$ to a different $V_{f}(x)$ asymptotically, we study the evolution, in an overdamped dynamics, of an initial probability density to its final…

Statistical Mechanics · Physics 2007-05-23 H. S. Samanta , J. K. Bhattacharjee , R. Ramaswamy

We shall revisit the conventional adiabatic or Markov approximation, showing its intrinsic failure in describing the proper quantum-mechanical evolution of a generic subsystem interacting with its environment. In particular, we shall show…

Quantum Physics · Physics 2007-05-23 Fausto Rossi

A classical-kind phase-space formalism is developed to address the tiny intrinsic dynamical deviation from what is predicted by Wilczek-Zee theorem during quantum adiabatic evolution on degeneracy levels. In this formalism, the Hilbert…

Quantum Physics · Physics 2016-02-17 Qi Zhang

Recently it has been shown that the peak of the quarkonium entropy at the deconfinement transition is related to the emergent entropic force which destructs the quarkonium. Using the AdS/CFT correspondence, we consider dissociation of a…

High Energy Physics - Phenomenology · Physics 2016-07-20 Kazem Bitaghsir Fadafan , Seyed Kamal Tabatabaei

Within the methods of the real and the imaginary potential for investigating the melting of a heavy quarkonium in the AdS/CFT correspondence, we study the effects of the dynamical exponent, the hyperscaling violation parameter, and the…

High Energy Physics - Theory · Physics 2024-06-21 Marjan Kioumarsipour , Bahman Khanpour