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We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on…

Disordered Systems and Neural Networks · Physics 2023-12-18 Ankita Chakrabarti , Cyril Martins , Nicolas Laflorencie , Bertrand Georgeot , Éric Brunet , Gabriel Lemarié

We study the non-equilibrium dynamics of a one-dimensional complex Sachdev-Ye-Kitaev chain by directly solving for the steady state Green's functions in terms of small perturbations around their equilibrium values. The model exhibits…

Strongly Correlated Electrons · Physics 2022-07-13 Cristian Zanoci , Brian Swingle

The last decade has witnessed an impressive progress in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. Many physically relevant models in one dimension are Bethe-ansatz integrable,…

Strongly Correlated Electrons · Physics 2021-05-12 B. Bertini , F. Heidrich-Meisner , C. Karrasch , T. Prosen , R. Steinigeweg , M. Znidaric

We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

Statistical Mechanics · Physics 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

We propose a simple model of coupled heat and particle transport based on a zero-dimensional classical deterministic dynamics which is reminiscent of a railway switch whose action is only a function of the particle's energy. It is shown…

Mesoscale and Nanoscale Physics · Physics 2012-11-28 Martin Horvat , Tomaz Prosen , Giuliano Benenti , Giulio Casati

We study nonequilibrium dynamics of the quantum Ising chain at zero temperature when the transverse field is varied stochastically. In the equivalent fermion representation, the equation of motion of Majorana operators is derived in the…

Statistical Mechanics · Physics 2016-04-07 G. Roósz , R. Juhász , F. Iglói

A theory for thermodynamic induction (TI) under isothermal conditions is presented. This includes a treatment of the Helmholtz free energy budget available for a gate variable to utilize towards aiding another variable's approach towards…

Mesoscale and Nanoscale Physics · Physics 2021-10-07 S. N. Patitsas

Van der Waals "sliding" ferroelectric bilayers, whose electric polarization is locked to the interlayer alignment, show promise for future non-volatile memory and other nanoelectronic devices. These applications require a fuller…

Statistical Mechanics · Physics 2025-09-19 Benjamin Remez , Moshe Goldstein

The heat conduction in an open transverse-field Ising chain is studied by using quantization in the Fock space of operators in the weak coupling regimes, i.e. the coupling is much smaller than the transverse field. The non-equilibrium…

Disordered Systems and Neural Networks · Physics 2015-05-20 Ke-Wei Sun , Chen Wang , Qing-Hu Chen

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

We present evidence suggesting that spin transport in the gapless phase of the S=1/2 XXZ model is ballistic rather than diffusive. We map the model onto a spinless fermion model whose charge stiffness determines the spin transport of the…

Condensed Matter · Physics 2016-08-31 B. N. Narozhny , A. J. Millis , N. Andrei

Numerical evidence is given for non-ergodic (non-mixing) behavior, exhibiting ideal transport, of a simple non-integrable many-body quantum system in the thermodynamic limit, namely kicked $t-V$ model of spinless fermions on a ring.…

Statistical Mechanics · Physics 2009-10-30 Tomaz Prosen

Mott-insulating transition metal oxides containing $t_{2g}^4$ ions with strong spin-orbit coupling were recently demonstrated to display unusual magnetism due to a dynamical mixing of the low-energy multiplet states via exchange processes.…

Strongly Correlated Electrons · Physics 2025-10-07 Jiří Chaloupka

A toy statistical model which mimics localized-to-itinerant electron transitions is introduced. We consider a system of two types of charge carriers: (1) localized ones, and (2) itinerant ones. There is chemical equilibrium between these…

Strongly Correlated Electrons · Physics 2021-05-04 Navinder Singh

An application of the thermodynamic field theory (TFT) to transport processes in L-mode tokamak plasmas is presented. The nonlinear corrections to the linear (Onsager) transport coefficients in the collisional regimes are derived. A quite…

Plasma Physics · Physics 2009-11-13 Giorgio Sonnino , Philippe Peeters

In this work we study the heat transport in an XXZ spin-1/2 Heisenberg chain with homogeneous magnetic field, incoherently driven out of equilibrium by reservoirs at the boundaries. We focus on the effect of bulk dephasing…

Strongly Correlated Electrons · Physics 2013-07-17 J. J. Mendoza-Arenas , S. Al-Assam , S. R. Clark , D. Jaksch

Quantum transport through devices coupled to electron reservoirs can be described in terms of the full counting statistics (FCS) of charge transfer. Transport observables, such as conductance and shot-noise power are just cumulants of FCS…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 M I Sena-Junior , A M S Macêdo

We develop a general framework for studying the equilibrium and non-equilibrium properties of arbitrary networks of Sachdev-Ye-Kitaev clusters coupled to thermal baths. We proceed to apply this technique to the problem of energy transport,…

Strongly Correlated Electrons · Physics 2022-01-04 Cristian Zanoci , Brian Swingle

We present a study of electric transport at high temperature in a model of strongly interacting spinless fermions without disorder. We use exact diagonalization to study the statistics of the energy eigenvalues, eigenstates, and the matrix…

Strongly Correlated Electrons · Physics 2009-11-11 Subroto Mukerjee , Vadim Oganesyan , David Huse

We consider the Glauber dynamics of a ferromagnetic Ising-Kac model on a three-dimensional periodic lattice of size $(2N + 1)3$, in which the flipping rate of each spin depends on an average field in a large neighborhood of radius…

Probability · Mathematics 2023-07-26 Paolo Grazieschi , Konstantin Matetski , Hendrik Weber