Maxwell's demon in a double quantum dot with continuous charge detection

Annby-Andersson, Björn; Samuelsson, Peter; Maisi, Ville F.; Potts, Patrick P.

doi:10.1103/physrevb.101.165404

Cited by 27 publications

(23 citation statements)

References 58 publications

(85 reference statements)

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“…This is actually a simplification, which has also been assumed before in the literature, see for instance Refs. [13,14,20,21], and that certainly could be experimentally realized by the application of a magnetic field able to completely polarize the dots.…”

Section: Model and Formalismmentioning

confidence: 99%

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Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots

Ludovico,

Capone

2021

Preprint

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We study the dynamics of charge and energy currents in a Coulomb-coupled double quantum dot system, when only one of the two dots is adiabatically driven by a time-periodic gate that modulates its energy level. Although the Coulomb coupling does not allow for electron transfer between the dots, it enables an exchange of energy between them which induces a time variation of charge in the undriven dot. We describe the effect of electron interactions at low temperature using a timedependent slave-spin 1 formulation within mean-field that efficiently captures the main effects of the strong correlations as well as the dynamical nature of the driving. We find that the currents induced in the undriven dot due to the mutual friction between inter-dot electrons are same order than those generated in the adiabatically driven dot. Interestingly, up to 43% percent of the energy injected by the ac sources can be transferred from the driven dot to the undriven one. We complete our analysis by studying the impact of the Coulomb interaction on the resistance of the quantum dot that is driven by the gate.

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Section: Model and Formalismmentioning

confidence: 99%

“…Among the most recent works addressing the study of heat transport and entropy production in Coulomb coupled systems, we find Refs. [18][19][20][21] for double quantum dot circuits, and Ref. [22] in the case of coupled Coulomb-blockaded metallic islands and quantum wires.…”

Section: Introductionmentioning

confidence: 99%

Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots

Ludovico,

Capone

2021

Preprint

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“…This has led to experimental realizations of the Maxwell demon in colloidal systems [11][12][13][14], electronic [15,16] and optical devices [17][18][19], single molecules [20], quantum systems [21][22][23], and tests of the Landauer limit [24][25][26][27][28]. The extension of stochastic thermodynamics [29][30][31] to include information and feedback has led to novel fluctuation theorems (FTs) for work and information [32][33][34][35], in repeated-time feedback protocols [36][37][38][39] and analytically solvable models [40][41][42][43]. Generalized Jarzynski equalities have been derived for isothermal feedback processes, where an external agent performs a single measurement on a system and applies a protocol ω m that depends on the measurement outcome m = 1, 2, .…”

Section: Introductionmentioning

confidence: 99%

Dissipation reduction and information-to-measurement conversion in DNA pulling experiments with feedback protocols

Rico-Pasto,

Schmitt,

Ribezzi-Crivellari

et al. 2021

Preprint

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Information-to-energy conversion with feedback measurement stands as one of the most intriguing aspects of the thermodynamics of information in the nanoscale. To date, experiments have focused on feedback protocols for work extraction. Here we address the novel case of dissipation reduction in non-equilibrium systems with feedback. We perform pulling experiments on DNA hairpins with optical tweezers, with a general feedback protocol based on multiple measurements that includes either discrete-time or continuous-time feedback. While feedback can reduce dissipation, it remains unanswered whether it also improves free energy determination (information-to-measurement conversion). We define thermodynamic information Υ as the natural logarithm of the feedback efficacy, a quantitative measure of the efficiency of information-to-energy and information-to-measurement conversion in feedback protocols. We find that discrete and continuous-time feedback reduces dissipation by roughly kBT Υ without improvement in free energy determination. Remarkably, a feedback strategy (defined as a correlated sequence of feedback protocols) further reduces dissipation, enhancing information-to-measurement efficiency. Our study underlines the role of temporal correlations to develop feedback strategies for efficient information-to-energy conversion in small systems.

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“…An important exception, amenable to analytical treatment, is provided by the Wiseman-Milburn equation [64], a Markovian master equation for continuous, linear feedback protocols, i.e., protocols depending linearly on the measured signal. However, optimal control often requires nonlinear protocols, a prominent example being provided by bang-bang control [72,73] which has promising thermodynamic applications in solid state architectures [27,[74][75][76]. For such continuous, nonlinear feedback protocols, no master equation description exists, emphasizing a need for further analytical tools.…”

mentioning

confidence: 99%

Quantum Fokker-Planck master equation for continuous feedback control

Annby-Andersson,

Bakhshinezhad,

Bhattacharyya

et al. 2021

Preprint

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Measurement and feedback control are essential features of quantum science, with applications ranging from quantum technology protocols to information-to-work conversion in quantum thermodynamics. Theoretical descriptions of feedback control are typically given in terms of stochastic equations requiring numerical solutions, or are limited to linear feedback protocols. Here we present a formalism for continuous quantum measurement and feedback, both linear and nonlinear. Our main result is a quantum Fokker-Planck master equation describing the joint dynamics of a quantum system and a detector with finite bandwidth. For fast measurements, we derive a Markovian master equation for the system alone, amenable to analytical treatment. We illustrate our formalism by investigating two basic information engines, one quantum and one classical.

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Maxwell's demon in a double quantum dot with continuous charge detection

Cited by 27 publications

References 58 publications

Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots

Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots

Dissipation reduction and information-to-measurement conversion in DNA pulling experiments with feedback protocols

Quantum Fokker-Planck master equation for continuous feedback control

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