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Papers by Gregory Bulnes Cuetara

Research paper thumbnail of Stochastic thermodynamics of rapidly driven quantum systems

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to mul... more We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the Floquet basis. Transition rates are shown to satisfy the local detailed balance involving the entropy flowing out of the reservoirs. The first and second law of thermodynamics are also identified at the trajectory level. Mechanical work is identified by means of initial and final projections on energy eigenstates of the system. We explicitly show that this two step measurement becomes unnecessary in the long time limit. A steady-state fluctuation theorem for the currents and rate of mechanical work is also established. This relation does not require the introduction of a time reversed external driving which is usually needed when considering systems subjected to time asymmetric external fields. This is understood as a consequence of the secular approx...

Research paper thumbnail of Bridging stochastic and macroscopic thermodynamics

arXiv: Statistical Mechanics, 2016

Macroscopic thermodynamics is involved with fluxes of matter, energy, charge etc. and with their ... more Macroscopic thermodynamics is involved with fluxes of matter, energy, charge etc. and with their irreversible degradation from one form to another. Stochastic thermodynamics is involved with fluxes of probability in the configuration space of a system. Thermodynamic consistency requires the two pictures to be equivalent. We describe a general framework for systematically establishing the thermodynamic consistency of a model. An interplay between conservation laws of physical currents and symmetries of the probabilistic affinities emerges. We summerize our results by an algorithm that produces the fundamental macroscopic currents and affinities. We show that the condition of local detailed balance generally employed in modelling is thermodynamically consistent, and that it is not just a convenient parametrization of the rates. Finally we provide a perspective on the celebrated Fluctuation Theorem in the light of symmetries.

Research paper thumbnail of Quantum Thermodynamics with Degenerate Eigenstate Coherences

Entropy, 2016

We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs w... more We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs when the system exhibits degeneracies. The first and second law of thermodynamics are derived, as well as a finite-time fluctuation theorem for mechanical work and energy and matter currents. Using a double quantum dot junction model, local eigenbasis coherences are shown to play a crucial role on thermodynamics and on the electron counting statistics.

Research paper thumbnail of Conservation laws and symmetries in stochastic thermodynamics

Physical review. E, 2016

Phenomenological nonequilibrium thermodynamics describes how fluxes of conserved quantities, such... more Phenomenological nonequilibrium thermodynamics describes how fluxes of conserved quantities, such as matter, energy, and charge, flow from outer reservoirs across a system and how they irreversibly degrade from one form to another. Stochastic thermodynamics is formulated in terms of probability fluxes circulating in the system's configuration space. The consistency of the two frameworks is granted by the condition of local detailed balance, which specifies the amount of physical quantities exchanged with the reservoirs during single transitions between configurations. We demonstrate that the topology of the configuration space crucially determines the number of independent thermodynamic affinities (forces) that the reservoirs generate across the system and provides a general algorithm that produces the fundamental affinities and their conjugate currents contributing to the total dissipation, based on the interplay between macroscopic conservations laws for the currents and micro...

Research paper thumbnail of Double quantum dot coupled to a quantum point contact: a stochastic thermodynamics approach

New Journal of Physics, 2015

Research paper thumbnail of Stochastic thermodynamics of rapidly driven systems

New Journal of Physics, 2015

Research paper thumbnail of Exact fluctuation theorem without ensemble quantities

Physical Review E, 2014

Evaluating the entropy production (EP) along a stochastic trajectory requires the knowledge of th... more Evaluating the entropy production (EP) along a stochastic trajectory requires the knowledge of the system probability distribution, an ensemble quantity notoriously difficult to measure. In this paper we show that the EP of nonautonomous systems in contact with multiple reservoirs can be expressed solely in terms of physical quantities measurable at the single-trajectory level with a suitable preparation of the initial condition. As a result, we identify universal energy and particle fluctuation relations valid for any measurement time. We apply our findings to an electronic junction model, which may be used to verify our prediction experimentally.

Research paper thumbnail of Fluctuation theorems for capacitively coupled electronic currents

Research paper thumbnail of Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

Research paper thumbnail of Théorème de fluctuation pour le transport d'électrons quantique dans les circuits mésoscopiques

Dans cette thèse nous étudions les propriétés statistique des courants dans des systèmes à l'... more Dans cette thèse nous étudions les propriétés statistique des courants dans des systèmes à l'échelle mésoscopique. Nous utilisons le formalisme de la statistique de comptage afin de caractériser les fluctuations de courant importantes à cette échelle. Celle-ci est obtenue en partant du Hamiltonien microscopique décrivant la dynamique des électrons sur le circuit considéré dans le régime quantique.Nous considérons deux modèles particuliers de circuits à deux canaux, chacun comportant deux électrodes. Le premier modèle étudié est constitué de deux plots quantiques en couplage capacitif, et chacun échangeant des électrons avec deux électrodes. Le deuxième modèle est quant à lui constitué d'un double plot quantique connecté à deux électrodes et modulant le courant dans un point quantique formé lui-même par la jonction de deux électrodes. Pour ces deux modèles, chaque canal est soumis à une différence de potentiel, ou force thermodynamique, générant des courants stationnaires flu...

Research paper thumbnail of Stochastic thermodynamics of rapidly driven quantum systems

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to mul... more We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the Floquet basis. Transition rates are shown to satisfy the local detailed balance involving the entropy flowing out of the reservoirs. The first and second law of thermodynamics are also identified at the trajectory level. Mechanical work is identified by means of initial and final projections on energy eigenstates of the system. We explicitly show that this two step measurement becomes unnecessary in the long time limit. A steady-state fluctuation theorem for the currents and rate of mechanical work is also established. This relation does not require the introduction of a time reversed external driving which is usually needed when considering systems subjected to time asymmetric external fields. This is understood as a consequence of the secular approx...

Research paper thumbnail of Bridging stochastic and macroscopic thermodynamics

arXiv: Statistical Mechanics, 2016

Macroscopic thermodynamics is involved with fluxes of matter, energy, charge etc. and with their ... more Macroscopic thermodynamics is involved with fluxes of matter, energy, charge etc. and with their irreversible degradation from one form to another. Stochastic thermodynamics is involved with fluxes of probability in the configuration space of a system. Thermodynamic consistency requires the two pictures to be equivalent. We describe a general framework for systematically establishing the thermodynamic consistency of a model. An interplay between conservation laws of physical currents and symmetries of the probabilistic affinities emerges. We summerize our results by an algorithm that produces the fundamental macroscopic currents and affinities. We show that the condition of local detailed balance generally employed in modelling is thermodynamically consistent, and that it is not just a convenient parametrization of the rates. Finally we provide a perspective on the celebrated Fluctuation Theorem in the light of symmetries.

Research paper thumbnail of Quantum Thermodynamics with Degenerate Eigenstate Coherences

Entropy, 2016

We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs w... more We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs when the system exhibits degeneracies. The first and second law of thermodynamics are derived, as well as a finite-time fluctuation theorem for mechanical work and energy and matter currents. Using a double quantum dot junction model, local eigenbasis coherences are shown to play a crucial role on thermodynamics and on the electron counting statistics.

Research paper thumbnail of Conservation laws and symmetries in stochastic thermodynamics

Physical review. E, 2016

Phenomenological nonequilibrium thermodynamics describes how fluxes of conserved quantities, such... more Phenomenological nonequilibrium thermodynamics describes how fluxes of conserved quantities, such as matter, energy, and charge, flow from outer reservoirs across a system and how they irreversibly degrade from one form to another. Stochastic thermodynamics is formulated in terms of probability fluxes circulating in the system's configuration space. The consistency of the two frameworks is granted by the condition of local detailed balance, which specifies the amount of physical quantities exchanged with the reservoirs during single transitions between configurations. We demonstrate that the topology of the configuration space crucially determines the number of independent thermodynamic affinities (forces) that the reservoirs generate across the system and provides a general algorithm that produces the fundamental affinities and their conjugate currents contributing to the total dissipation, based on the interplay between macroscopic conservations laws for the currents and micro...

Research paper thumbnail of Double quantum dot coupled to a quantum point contact: a stochastic thermodynamics approach

New Journal of Physics, 2015

Research paper thumbnail of Stochastic thermodynamics of rapidly driven systems

New Journal of Physics, 2015

Research paper thumbnail of Exact fluctuation theorem without ensemble quantities

Physical Review E, 2014

Evaluating the entropy production (EP) along a stochastic trajectory requires the knowledge of th... more Evaluating the entropy production (EP) along a stochastic trajectory requires the knowledge of the system probability distribution, an ensemble quantity notoriously difficult to measure. In this paper we show that the EP of nonautonomous systems in contact with multiple reservoirs can be expressed solely in terms of physical quantities measurable at the single-trajectory level with a suitable preparation of the initial condition. As a result, we identify universal energy and particle fluctuation relations valid for any measurement time. We apply our findings to an electronic junction model, which may be used to verify our prediction experimentally.

Research paper thumbnail of Fluctuation theorems for capacitively coupled electronic currents

Research paper thumbnail of Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

Research paper thumbnail of Théorème de fluctuation pour le transport d'électrons quantique dans les circuits mésoscopiques

Dans cette thèse nous étudions les propriétés statistique des courants dans des systèmes à l'... more Dans cette thèse nous étudions les propriétés statistique des courants dans des systèmes à l'échelle mésoscopique. Nous utilisons le formalisme de la statistique de comptage afin de caractériser les fluctuations de courant importantes à cette échelle. Celle-ci est obtenue en partant du Hamiltonien microscopique décrivant la dynamique des électrons sur le circuit considéré dans le régime quantique.Nous considérons deux modèles particuliers de circuits à deux canaux, chacun comportant deux électrodes. Le premier modèle étudié est constitué de deux plots quantiques en couplage capacitif, et chacun échangeant des électrons avec deux électrodes. Le deuxième modèle est quant à lui constitué d'un double plot quantique connecté à deux électrodes et modulant le courant dans un point quantique formé lui-même par la jonction de deux électrodes. Pour ces deux modèles, chaque canal est soumis à une différence de potentiel, ou force thermodynamique, générant des courants stationnaires flu...