Aharonov-Bohm phases in a quantum LC circuit
Abstract
We study novel types of contributions to the partition function of the Maxwell system defined on a small compact manifold. These contributions, often not addressed in the perturbative treatment with physical photons, come about as a result of tunneling transitions between topologically distinct but physically identical vacuum winding states. These new terms give an extra contribution to the Casimir pressure, yet to be measured. We argue that this effect is highly sensitive to a small external electric field, which should be contrasted with the conventional Casimir effect, where the vacuum photons are essentially unaffected by any external field. Furthermore, photons will be emitted from the vacuum in response to a time-dependent electric field, similar to the dynamical Casimir effect in which real particles are radiated from the vacuum due to the time-dependent boundary conditions. We also propose an experimental setup using a quantum LC circuit to detect this novel effect. We expect physical electric charges to appear on the capacitor plates when the system dimension is such that coherent Aharonov-Bohm phases can be maintained over macroscopically large distances.
- Authors:
-
- California Inst. of Technology (CalTech), Pasadena, CA (United States)
- Univ. of British Columbia, Vancouver, BC (Canada)
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1596776
- Alternate Identifier(s):
- OSTI ID: 1243004
- Grant/Contract Number:
- SC0011632
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Cao, ChunJun, Yao, Yuan, and Zhitnitsky, Ariel R. Aharonov-Bohm phases in a quantum LC circuit. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.065049.
Cao, ChunJun, Yao, Yuan, & Zhitnitsky, Ariel R. Aharonov-Bohm phases in a quantum LC circuit. United States. https://doi.org/10.1103/PhysRevD.93.065049
Cao, ChunJun, Yao, Yuan, and Zhitnitsky, Ariel R. Wed .
"Aharonov-Bohm phases in a quantum LC circuit". United States. https://doi.org/10.1103/PhysRevD.93.065049. https://www.osti.gov/servlets/purl/1596776.
@article{osti_1596776,
title = {Aharonov-Bohm phases in a quantum LC circuit},
author = {Cao, ChunJun and Yao, Yuan and Zhitnitsky, Ariel R.},
abstractNote = {We study novel types of contributions to the partition function of the Maxwell system defined on a small compact manifold. These contributions, often not addressed in the perturbative treatment with physical photons, come about as a result of tunneling transitions between topologically distinct but physically identical vacuum winding states. These new terms give an extra contribution to the Casimir pressure, yet to be measured. We argue that this effect is highly sensitive to a small external electric field, which should be contrasted with the conventional Casimir effect, where the vacuum photons are essentially unaffected by any external field. Furthermore, photons will be emitted from the vacuum in response to a time-dependent electric field, similar to the dynamical Casimir effect in which real particles are radiated from the vacuum due to the time-dependent boundary conditions. We also propose an experimental setup using a quantum LC circuit to detect this novel effect. We expect physical electric charges to appear on the capacitor plates when the system dimension is such that coherent Aharonov-Bohm phases can be maintained over macroscopically large distances.},
doi = {10.1103/PhysRevD.93.065049},
journal = {Physical Review D},
number = 6,
volume = 93,
place = {United States},
year = {Wed Mar 23 00:00:00 EDT 2016},
month = {Wed Mar 23 00:00:00 EDT 2016}
}
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