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Pumped heat and charge statistics from Majorana braiding

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Pumped heat and charge statistics from Majorana braiding. / Simons, T.; Meidan, D.; Romito, A.

In: Physical Review B: Condensed Matter and Materials Physics, Vol. 102, No. 24, 245420, 15.12.2020.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Simons, T, Meidan, D & Romito, A 2020, 'Pumped heat and charge statistics from Majorana braiding', Physical Review B: Condensed Matter and Materials Physics, vol. 102, no. 24, 245420. https://doi.org/10.1103/PhysRevB.102.245420

APA

Simons, T., Meidan, D., & Romito, A. (2020). Pumped heat and charge statistics from Majorana braiding. Physical Review B: Condensed Matter and Materials Physics, 102(24), [245420]. https://doi.org/10.1103/PhysRevB.102.245420

Vancouver

Simons T, Meidan D, Romito A. Pumped heat and charge statistics from Majorana braiding. Physical Review B: Condensed Matter and Materials Physics. 2020 Dec 15;102(24). 245420. https://doi.org/10.1103/PhysRevB.102.245420

Author

Simons, T. ; Meidan, D. ; Romito, A. / Pumped heat and charge statistics from Majorana braiding. In: Physical Review B: Condensed Matter and Materials Physics. 2020 ; Vol. 102, No. 24.

Bibtex

@article{9bd44239b2524a8180abdbc60f6745e5,
title = "Pumped heat and charge statistics from Majorana braiding",
abstract = "We examine the heat and charge transport of a driven topological superconductor. Our particular system of interest consists of a Y-junction of topological superconducting wires, hosting non-Abelian Majorana zero modes at their edges. The system is contacted to two leads which act as continuous detectors of the system state. We calculate, via a scattering matrix approach, the full counting statistics of the driven heat transport, between two terminals contacted to the system, for small adiabatic driving and characterize the energy transport properties as a function of the system parameters (driving frequency, temperature). We find that the geometric, dynamic contribution to the pumped heat statistics results in a correction to the Gallavotti-Cohen type fluctuation theorem for quantum heat transfer. Notably, the correction term to the fluctuation theorem extends to cycles which correspond to topologically protected braiding of the Majorana zero modes. This geometric correction to the fluctuation theorem differs from its analogs in previously studied systems in that (i) it is nonvanishing for adiabatic cycles of the system's parameters, without the need for cyclic driving of the leads and (ii) it is insensitive to small, slow fluctuations of the driving parameters due to the topological protection of the braiding operation. ",
keywords = "Heat transfer, Topology, Charge statistics, Driving frequencies, Driving parameters, Energy transport properties, Fluctuation theorems, Full counting statistics, Geometric correction, Scattering matrix approach, Topping cycle systems",
author = "T. Simons and D. Meidan and A. Romito",
year = "2020",
month = dec,
day = "15",
doi = "10.1103/PhysRevB.102.245420",
language = "English",
volume = "102",
journal = "Physical Review B: Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "24",

}

RIS

TY - JOUR

T1 - Pumped heat and charge statistics from Majorana braiding

AU - Simons, T.

AU - Meidan, D.

AU - Romito, A.

PY - 2020/12/15

Y1 - 2020/12/15

N2 - We examine the heat and charge transport of a driven topological superconductor. Our particular system of interest consists of a Y-junction of topological superconducting wires, hosting non-Abelian Majorana zero modes at their edges. The system is contacted to two leads which act as continuous detectors of the system state. We calculate, via a scattering matrix approach, the full counting statistics of the driven heat transport, between two terminals contacted to the system, for small adiabatic driving and characterize the energy transport properties as a function of the system parameters (driving frequency, temperature). We find that the geometric, dynamic contribution to the pumped heat statistics results in a correction to the Gallavotti-Cohen type fluctuation theorem for quantum heat transfer. Notably, the correction term to the fluctuation theorem extends to cycles which correspond to topologically protected braiding of the Majorana zero modes. This geometric correction to the fluctuation theorem differs from its analogs in previously studied systems in that (i) it is nonvanishing for adiabatic cycles of the system's parameters, without the need for cyclic driving of the leads and (ii) it is insensitive to small, slow fluctuations of the driving parameters due to the topological protection of the braiding operation.

AB - We examine the heat and charge transport of a driven topological superconductor. Our particular system of interest consists of a Y-junction of topological superconducting wires, hosting non-Abelian Majorana zero modes at their edges. The system is contacted to two leads which act as continuous detectors of the system state. We calculate, via a scattering matrix approach, the full counting statistics of the driven heat transport, between two terminals contacted to the system, for small adiabatic driving and characterize the energy transport properties as a function of the system parameters (driving frequency, temperature). We find that the geometric, dynamic contribution to the pumped heat statistics results in a correction to the Gallavotti-Cohen type fluctuation theorem for quantum heat transfer. Notably, the correction term to the fluctuation theorem extends to cycles which correspond to topologically protected braiding of the Majorana zero modes. This geometric correction to the fluctuation theorem differs from its analogs in previously studied systems in that (i) it is nonvanishing for adiabatic cycles of the system's parameters, without the need for cyclic driving of the leads and (ii) it is insensitive to small, slow fluctuations of the driving parameters due to the topological protection of the braiding operation.

KW - Heat transfer

KW - Topology

KW - Charge statistics

KW - Driving frequencies

KW - Driving parameters

KW - Energy transport properties

KW - Fluctuation theorems

KW - Full counting statistics

KW - Geometric correction

KW - Scattering matrix approach

KW - Topping cycle systems

U2 - 10.1103/PhysRevB.102.245420

DO - 10.1103/PhysRevB.102.245420

M3 - Journal article

VL - 102

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

SN - 1098-0121

IS - 24

M1 - 245420

ER -