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This paper introduces the formalism required to analyze a certain class of stochastic control problems that involve a super diffusion as the underlying controlled system. To establish the existence of these processes, we show that they are…

Probability · Mathematics 2024-11-19 Antonio Ocello

In the signal-processing literature, a frame is a mechanism for performing analysis and reconstruction in a Hilbert space. By contrast, in quantum theory, a positive operator-valued measure (POVM) decomposes a Hilbert-space vector for the…

Functional Analysis · Mathematics 2020-04-27 Benjamin Robinson , Bill Moran , Doug Cochran

We investigate the thermodynamic and emergent thermomechanical properties of fermions confined to a one-dimensional quantum ring with effective spin--orbit interactions induced by nonminimal couplings to antisymmetric tensor fields. Using…

Statistical Mechanics · Physics 2026-05-08 João A. A. S. Reis , L. Lisboa-Santos , Edilberto O. Silva

We consider new concepts of entropy and pressure for stationary systems acting on density matrices which generalize the usual ones in Ergodic Theory. Part of our work is to justify why the definitions and results we describe here are…

Dynamical Systems · Mathematics 2011-08-23 A. Baraviera , C. F. Lardizabal , Artur O. Lopes , M. Terra Cunha

We provide a thermodynamically consistent description of energy, charge and spin transfers in a thermoelectric quantum-dot spin valve in the collinear configuration based on nonequilibrium Green's function and full counting statistics. We…

Mesoscale and Nanoscale Physics · Physics 2018-04-27 Gaomin Tang , Juzar Thingna , Jian Wang

The current-induced magnetization dynamics of a spin valve are studied using a macrospin (single domain) approximation and numerical solutions of a generalized Landau-Lifshitz-Gilbert equation. For the purpose of quantitative comparison…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jiang Xiao , A. Zangwill , M. D. Stiles

A common optimization problem is the minimization of a symmetric positive definite quadratic form $< x,Tx >$ under linear constrains. The solution to this problem may be given using the Moore-Penrose inverse matrix. In this work we extend…

Functional Analysis · Mathematics 2010-03-31 Dimitrios Pappas

Spin-transfer is a typical spintronics effect that allows a ferromagnetic layer to be switched by spin-injection. Most of the experimental results about spin transfer are described on the basis of the Landau-Lifshitz-Gilbert equation of the…

Materials Science · Physics 2015-06-25 J. -E. Wegrowe , C. Ciornei , H. -J. Drouhin

We propose using ultracold fermionic atoms trapped in a periodically shaken optical lattice as a quantum simulator of the t-J Hamiltonian, which describes the dynamics in doped antiferromagnets and is thought to be relevant to the problem…

Strongly Correlated Electrons · Physics 2020-06-02 Hongmin Gao , Jonathan R. Coulthard , Dieter Jaksch , Jordi Mur-Petit

The space of positive operator-valued measures on the Borel sets of a compact (or even locally compact) Hausdorff space with values in the algebra of linear operators acting on a d-dimensional Hilbert space is studied from the perspectives…

Quantum Physics · Physics 2015-05-30 Douglas Farenick , Sarah Plosker , Jerrod Smith

We investigate the emergence of thermalization in a quantum field-theoretic model mimicking the production of jets in QCD -- the massive Schwinger model coupled to external sources. Specifically, we compute the expectation values of local…

High Energy Physics - Phenomenology · Physics 2025-06-19 Adrien Florio , David Frenklakh , Sebastian Grieninger , Dmitri E. Kharzeev , Andrea Palermo , Shuzhe Shi

Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum…

Quantum Physics · Physics 2007-05-23 Ramon van Handel , John K. Stockton , Hideo Mabuchi

We consider a quaternionic quantum formalism for the description of quantum states and quantum dynamics. We prove that generalized quantum measurements on physical systems in quaternionic quantum theory can be simulated by usual quantum…

Quantum Physics · Physics 2015-07-29 Matthew A. Graydon

Using one of the methods of quantum nonequilibrium statistical physics we have investigated the spin transport transverse to the normal metal/ferromagnetic insulator interface in hybrid nanostructures. An approximation of the effective…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 I. I. Lyapilin , M. S. Okorokov , V. V. Ustinov

The finite Hilbert transform $T$, when acting in the classical Zygmund space $\logl$ (over $(-1,1)$), was intensively studied in \cite{curbera-okada-ricker-log}. In this note an integral representation of $T$ is established via the…

Functional Analysis · Mathematics 2024-06-25 Guillermo P. Curbera , Susumu Okada , Werner J. Ricker

Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functions of observable fields (see Commun. Math. Phys. 218 (2001)…

High Energy Physics - Theory · Physics 2009-11-10 Nikolay M. Nikolov , Ivan T. Todorov

The development of compact and tunable room temperature sources of coherent THz-frequency signals would open a way for numerous new applications. The existing approaches to THz-frequency generation based on superconductor Josephson…

Mesoscale and Nanoscale Physics · Physics 2016-10-03 Roman Khymyn , Ivan Lisenkov , Vasyl Tiberkevich , Boris A. Ivanov , Andrei Slavin

We compare expressions for the atom interferometer phase obtained using the path integral approach and the approach based on the density matrix equation in the Wigner representation. The power series of these expressions over the Planck…

Atomic Physics · Physics 2017-02-01 B. Dubetsky

Conversion of thermal energy into magnonic spin currents and/or effective electric polarization promises new device functionalities. A versatile approach is presented here for generating and controlling open circuit magnonic spin currents…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Xi-guang Wang , L. Chotorlishvili , Guang-hua Guo , J. Berakdar

The miniaturisation of magnetic read heads and random access memory elements makes them vulnerable to thermal fluctuations. We demonstrate how current-induced spin-transfer torques can be used to suppress the effects of thermal…

Mesoscale and Nanoscale Physics · Physics 2011-03-07 Swarnali Bandopadhyay , Arne Brataas , Gerrit E. W. Bauer