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The exchange-correlation energy in Kohn-Sham density functional theory can be expressed exactly in terms of the change in the expectation of the electron-electron repulsion operator when, in the many-electron hamiltonian, this same operator…

Strongly Correlated Electrons · Physics 2009-08-05 Paola Gori-Giorgi , Giovanni Vignale , Michael Seidl

For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between given initial and final values of a control parameter. For an initially thermalized…

Statistical Mechanics · Physics 2015-05-13 Tim Schmiedl , Eckhard Dieterich , Peter-Simon Dieterich , Udo Seifert

We study the exchange interaction between two hole-spin qubits in a double quantum dot setup in a silicon nanowire in the presence of magnetic and electric fields. Based on symmetry arguments we show that there exists an effective spin that…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Bence Hetényi , Christoph Kloeffel , Daniel Loss

Classical models of spin-lattice coupling are at present unable to accurately reproduce results for numerous properties of ferromagnetic materials, such as heat transport coefficients or the sudden collapse of the magnetic moment in hcp-Fe…

Materials Science · Physics 2023-08-10 T. Wells , W. M. C. Foulkes , S. L. Dudarev , A. P. Horsfield

We obtain macroscopic adiabatic thermodynamic transformations by space-time scalings of a microscopic Hamiltonian dynamics subject to random collisions with the environment. The microscopic dynamics is given by a chain of oscillators…

Statistical Mechanics · Physics 2014-12-12 Stefano Olla , Marielle Simon

We study thermodynamic properties as well as the dynamical spin and quadrupolar structure factors of the O(3)-symmetric spin-1 Heisenberg model with bilinear-biquadratic exchange interactions on the triangular lattice. Based on a…

Strongly Correlated Electrons · Physics 2016-03-01 Annika Völl , Stefan Wessel

We consider the out-of-equilibrium dynamics of the Heisenberg anisotropic quantum spin--$1/2$ chain threaded by a time-dependent magnetic flux. In the spirit of the recently developed generalized hydrodynamics (GHD), we exploit the…

Statistical Mechanics · Physics 2019-06-26 A. Bastianello , A. De Luca

Crossing a quantum critical point in finite time challenges the adiabatic condition due to the closing of the energy gap, which ultimately results in the formation of excitations. Such non-adiabatic excitations are typically deemed…

Quantum Physics · Physics 2022-04-27 Obinna Abah , Gabriele De Chiara , Mauro Paternostro , Ricardo Puebla

To the Hubbard model on a square lattice we add an interaction, $W$, which depends upon the square of a near-neighbor hopping. We use zero temperature quantum Monte Carlo simulations on lattice sizes up to $16 \times 16$, to show that at…

Strongly Correlated Electrons · Physics 2009-10-30 F. F. Assaad , M. Imada , D. J. Scalapino

We study effects of nonadiabatic couplings in a model of a diatomic molecule in the context of attosecond transient absorption spectroscopy. By using a model system consisting of four diabatic electronic states and with a variable strength…

Atomic Physics · Physics 2021-03-03 Nikolaj S. W. Ravn , Lars Bojer Madsen

The complex behavior of many natural and engineered systems emerges from the interaction of a small number of effective degrees of freedom. Discovering the physical basis of the interactions between these degrees of freedom directly from…

Chaotic Dynamics · Physics 2026-03-18 Annie Z. Xia , Melody X. Lim , Jason Z. Kim , Bryan VanSaders , Heinrich Jaeger

The microscopic basis for the stability of itinerant ferromagnetism in correlated electron systems is examined. To this end several routes to ferromagnetism are explored, using both rigorous methods valid in arbitrary spatial dimensions, as…

Strongly Correlated Electrons · Physics 2009-10-30 D. Vollhardt , N. Blümer , K. Held , M. Kollar , J. Schlipf , M. Ulmke

We present the exact adiabatic theory for the dynamics of the inhomogeneous density distribution of a classical fluid. Erroneous particle number fluctuations of dynamical density functional theory are absent, both for canonical and grand…

Soft Condensed Matter · Physics 2016-05-25 Daniel de las Heras , Joseph M. Brader , Andrea Fortini , Matthias Schmidt

In quantum magnetism, the virtual exchange of particles mediates an interaction between spins. Here, we show that an inelastic Hubbard interaction fundamentally alters the magnetism of the Hubbard model due to dissipation in spin-exchange…

Quantum Gases · Physics 2020-04-13 Masaya Nakagawa , Naoto Tsuji , Norio Kawakami , Masahito Ueda

We study the dissipative dynamics of a class of interacting ``gamma-matrix'' spin models coupled to a Markovian environment. For spins on an arbitrary graph, we construct a Lindbladian that maps to a non-Hermitian model of free Majorana…

Quantum Physics · Physics 2025-10-28 Lucas Sá , Benjamin Béri

We consider the spin-1/2 XXX chain weakly perturbed away from integrability by an isotropic next-to-nearest neighbor exchange interaction. Recently, it was conjectured that this model possesses an infinite tower of quasiconserved integrals…

Strongly Correlated Electrons · Physics 2023-06-07 Pavel Orlov , Anastasiia Tiutiakina , Rustem Sharipov , Elena Petrova , Vladimir Gritsev , Denis V. Kurlov

We present a framework for simulating relaxation dynamics through a conical intersection of an open quantum system that combines methods to approximate the motion of degrees of freedom with disparate time and energy scales. In the vicinity…

Statistical Mechanics · Physics 2019-07-24 Addison J. Schile , David T. Limmer

We investigate the anti-adiabatic limit of an anti-ferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the effective spin model…

Strongly Correlated Electrons · Physics 2015-06-24 Carsten Raas , Alexander Bühler , Götz S. Uhrig

A general theoretical framework is derived for the recently developed multi-state trajectory (MST) approach from the time dependent Schr\"odinger equation, resulting in equations of motion for coupled nuclear-electronic dynamics equivalent…

Chemical Physics · Physics 2017-09-13 Guohua Tao

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel