# Time-dependent photon heat transport through a mesoscopic Josephson device

## Abstract

The time-oscillating photon heat current through a dc voltage biased mesoscopic Josephson Junction (MJJ) has been investigated by employing the nonequilibrium Green’s function approach. The Landauer-like formula of photon heat current has been derived in both of the Fourier space and its time-oscillating versions, where Coulomb interaction, self inductance, and magnetic flux take effective roles. Nonlinear behaviors are exhibited in the photon heat current due to the quantum nature of MJJ and applied external dc voltage. The magnitude of heat current decreases with increasing the external bias voltage, and subtle oscillation structures appear as the superposition of different photon heat branches. The overall period of heat current with respect to time is not affected by Coulomb interaction, however, the magnitude and phase of it vary considerably by changing the Coulomb interaction. - Highlights: • The time-oscillating photon heat current through a mesoscopic Josephson Junction has been investigated. • The Landauer-like formula of photon heat current has been derived by the nonequilibrium Green’s function approach. • Nonlinear behaviors are exhibited in the photon heat current resulting from the self inductance and Coulomb interaction. • The oscillation structure of heat current is composed of the superposition of oscillations with different periods.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22617469

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 377; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HEAT TRANSFER; JOSEPHSON JUNCTIONS; MAGNETIC FLUX; NONLINEAR PROBLEMS; PHOTONS; TIME DEPENDENCE

### Citation Formats

```
Lu, Wen-Ting, and Zhao, Hong-Kang, E-mail: zhaohonk@bit.edu.cn.
```*Time-dependent photon heat transport through a mesoscopic Josephson device*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2016.12.025.

```
Lu, Wen-Ting, & Zhao, Hong-Kang, E-mail: zhaohonk@bit.edu.cn.
```*Time-dependent photon heat transport through a mesoscopic Josephson device*. United States. doi:10.1016/J.AOP.2016.12.025.

```
Lu, Wen-Ting, and Zhao, Hong-Kang, E-mail: zhaohonk@bit.edu.cn. Wed .
"Time-dependent photon heat transport through a mesoscopic Josephson device". United States.
doi:10.1016/J.AOP.2016.12.025.
```

```
@article{osti_22617469,
```

title = {Time-dependent photon heat transport through a mesoscopic Josephson device},

author = {Lu, Wen-Ting and Zhao, Hong-Kang, E-mail: zhaohonk@bit.edu.cn},

abstractNote = {The time-oscillating photon heat current through a dc voltage biased mesoscopic Josephson Junction (MJJ) has been investigated by employing the nonequilibrium Green’s function approach. The Landauer-like formula of photon heat current has been derived in both of the Fourier space and its time-oscillating versions, where Coulomb interaction, self inductance, and magnetic flux take effective roles. Nonlinear behaviors are exhibited in the photon heat current due to the quantum nature of MJJ and applied external dc voltage. The magnitude of heat current decreases with increasing the external bias voltage, and subtle oscillation structures appear as the superposition of different photon heat branches. The overall period of heat current with respect to time is not affected by Coulomb interaction, however, the magnitude and phase of it vary considerably by changing the Coulomb interaction. - Highlights: • The time-oscillating photon heat current through a mesoscopic Josephson Junction has been investigated. • The Landauer-like formula of photon heat current has been derived by the nonequilibrium Green’s function approach. • Nonlinear behaviors are exhibited in the photon heat current resulting from the self inductance and Coulomb interaction. • The oscillation structure of heat current is composed of the superposition of oscillations with different periods.},

doi = {10.1016/J.AOP.2016.12.025},

journal = {Annals of Physics},

number = ,

volume = 377,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2017},

month = {Wed Feb 15 00:00:00 EST 2017}

}