Anyon Quantum Transport and Noise Away from Equilibrium

Mintchev, Mihail; Sorba, P.

doi:10.1002/andp.202000276

Cited by 5 publications

(7 citation statements)

References 63 publications

(136 reference statements)

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“…It will be very interesting to test the representation π mix in other continuous or lattice systems with non-trivial bulk interactions. An intriguing possibility in this respect is the implementation of the mixed distributions (2,5) in the setup of non-equilibrium conformal field theory [18,63,64,50].…”

Section: Discussion and Outlookmentioning

confidence: 99%

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Quantum states from mixtures of equilibrium distributions

Mintchev

2022

Preprint

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We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is encoded in a probability, which characterises the particle exchange among them and depends in general on the particle momentum. The convex combination of the reservoir distributions, weighted with the aforementioned probabilities, defines a new distribution. We establish the existence of an emission-absorption regime in which the new distribution generates a non-equilibrium quantum state. We develop a systematic field theory framework for constructing this state and illustrate its physical properties on a simple model. In this context we derive the particle current full counting statistics, the heat current and the Lorenz number. The entropy production and the relative quantum fluctuations are also determined.

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Section: Discussion and Outlookmentioning

confidence: 99%

“…From (50) it follows that for fixed reservoir distributions d + i (ω(k)) the profile of I(k) determines both the direction of the current and the energy range of the excitations which form the flow. For a more detailed analysis of (50) it is convenient to rewrite it in the form j(t, x…”

Section: Particle Transport and Full Counting Statisticsmentioning

confidence: 99%

Quantum states from mixtures of equilibrium distributions

Mintchev

2022

Preprint

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“…Since then, a considerable amount of work has been done to characterize the thermodynamical properties of one dimensional Luttinger liquids. In particular, intense study has been devoted to systems out of equilibrium whose ends are in contact with thermal reservoirs at temperatures T l and T r : this idea has been successfully applied to obtain exact results for conformal field theories which asymptotically evolve into steady states [8][9][10][11] and to the study of the quantum transport of anyons in one space dimension [12][13][14].…”

Section: Jhep09(2022)123mentioning

confidence: 99%

“…At spacelike separated events x and y the fields should anticommute (see [14] for the anyonic case); for that to happen the following conditions must hold:…”

Section: Interacting Fermions: the Steady-state Thirring Modelmentioning

confidence: 99%

The massless thermal field and the thermal fermion bosonization in two dimensions

Epstein

Moschella

2022

J. High Energ. Phys.

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We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexist at two different temperatures. A crucial role in our construction is played by translation invariant infrared states and the corresponding field operators which are naturally linked to the infrared behaviour of the correlation functions. We present two applications: a simple new derivation in the free relativistic case of a formula by Bernard and Doyon and a full operator solution of the massless Thirring model in the steady state case where the left and right movers have two distinct temperatures.

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Section: Particle Transport and Full Counting Statisticsmentioning

confidence: 99%

Quantum states from mixtures of equilibrium distributions

Mintchev¹

2022

J. Stat. Mech.

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We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is encoded in a probability, which characterises the particle exchange among them and depends in general on the particle momentum. The convex combination of the reservoir distributions, weighted with the aforementioned probabilities, defines a new distribution. We establish the existence of an emission–absorption regime in which the new distribution generates a non-equilibrium quantum state. We develop a systematic field theory framework for constructing this state and illustrate its physical properties on a simple model. In this context we derive the particle current full counting statistics, the heat current and the Lorenz number. The entropy production and the relative quantum fluctuations are also determined.

show abstract

Anyon Quantum Transport and Noise Away from Equilibrium

Cited by 5 publications

References 63 publications

Quantum states from mixtures of equilibrium distributions

Quantum states from mixtures of equilibrium distributions

The massless thermal field and the thermal fermion bosonization in two dimensions

Quantum states from mixtures of equilibrium distributions

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