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Quantum criticality provides an important route to revealing universal non-equilibrium behaviour. A canonical example of a quantum critical point is the Bose-Hubbard model, which we study under the application of an electric field. A…

Strongly Correlated Electrons · Physics 2015-06-18 A. M. Berridge , A. G. Green

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

Statistical Mechanics · Physics 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

We investigate nonlinear transport properties of quantum conductors in response to both electrical and thermal driving forces. Within scattering approach, we determine the nonequilibrium screening potential of a generic mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 David Sanchez , Rosa Lopez

Quantum metric, a probe to spacetime of the Hilbert space, has been found measurable in the nonlinear electronic transport thus has attracted tremendous interest. However, without comparing with mechanisms tied to disorder, it is still…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Zhen-Hao Gong , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

The theoretical description of strongly correlated quantum systems out of equilibrium presents several challenges and a number of open questions persist. In this paper we focus on nonlinear electronic transport through an interacting…

Strongly Correlated Electrons · Physics 2015-03-17 Prasenjit Dutt , Jens Koch , J. E. Han , Karyn Le Hur

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

The theoretical description of strongly correlated quantum systems out of equilibrium presents several challenges and a number of open questions persist. In this paper we focus on nonlinear electronic transport through a quantum dot…

Strongly Correlated Electrons · Physics 2012-11-27 Prasenjit Dutt , Jens Koch , J. E. Han , Karyn Le Hur

Quantum dots are versatile systems for exploring quantum transport, electron correlations, and many-body phenomena such as the Kondo effect. While equilibrium properties are well understood through methods like the numerical renormalization…

Strongly Correlated Electrons · Physics 2026-01-06 Gustavo Diniz , Silvio Quintino , Vivian V. França

We derive transport equations for fermions and bosons in spatially or temporally varying backgrounds with special symmetries, by use of the Schwinger-Keldysh formalism. In a noninteracting theory the coherence information is shown to be…

High Energy Physics - Phenomenology · Physics 2014-11-18 Matti Herranen , Kimmo Kainulainen , Pyry M. Rahkila

The problem of non-linear transport near a quantum phase transition is solved within the Landau theory for the dissipative insulator-superconductor phase transition in two dimensions. Using the non-equilibrium Schwinger round-trip Green…

Superconductivity · Physics 2009-11-10 Denis , Dalidovich , Philip Phillips

We present a theoretical technique for solving the quantum transport problem of a few photons through a one-dimensional, strongly nonlinear waveguide. We specifically consider the situation where the evolution of the optical field is…

Quantum Physics · Physics 2012-01-23 Mohammad Hafezi , Darrick Chang , Vladimir Gritsev , Eugene Demler , Mikhail Lukin

The use of the Wigner function for the study of quantum transport in open systems present severe criticisms. Some of the problems arise from the assumption of infinite coherence length of the electron dynamics outside the system of…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 Carlo Jacoboni , Paolo Bordone

We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schroedinger equation. We explicitly renounce on any other…

Statistical Mechanics · Physics 2007-05-23 Robin Steinigeweg , Jochen Gemmer , Mathias Michel

A theory is presented of quantum criticality in open (coupled to reservoirs) itinerant electron magnets, with nonequilibrium drive provided by current flow across the system. Both departures from equilibrium at conventional (equilibrium)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Aditi Mitra , So Takei , Yong Baek Kim , A. J. Millis

We consider thermal transport between two reservoirs coupled by a quantum Ising chain as a model for non-equilibrium physics induced in quantum-critical many-body systems. By deriving rate equations based on exact expressions for the…

Statistical Mechanics · Physics 2012-12-13 Malte Vogl , Gernot Schaller , Tobias Brandes

Using Schwinger's quantum action principle, dispersion relations are obtained for neutral scalar mesons interacting with bi-local sources. These relations are used as the basis of a method for representing the effect of interactions in the…

High Energy Physics - Theory · Physics 2009-10-28 Mark Burgess

Quantum kinetic theory is an important tool for studying non-equilibrium, non-perturbative and non-linear interactions within an open quantum system, and as such is able to provide an unprecedented view on particle production in the…

High Energy Physics - Phenomenology · Physics 2025-08-12 James P. Edwards , Naser Ahmadiniaz , Sebastian M. Schmidt , Christian Kohlfürst

Transport at a quantum critical point depends sensitively on the relative magnitudes of temperature, frequency and electric field. Here we used the gauge/gravity correspondence to compute the full temperature and, generally nonlinear,…

Strongly Correlated Electrons · Physics 2011-02-03 Andreas Karch , S. L. Sondhi

Recent work has revealed a general procedure for incorporating disorder into the semiclassical model of carrier transport, whereby the predictions of quantum linear response theory can be recovered within a quantum kinetic approach based on…

Mesoscale and Nanoscale Physics · Physics 2025-03-10 M. Mehraeen

We show that the coherent mixing of different transverse modes, due to forward scattering of carriers by soft impurity- or boundary potentials leads to a nonlinear, asymmetric current response of quantum point contacts (QPC). The…

Condensed Matter · Physics 2009-10-22 A. M. Zagoskin , R. I. Shekhter
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