Sitewise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators
Abstract
We report that the Bose Hubbard model (BHM) of interacting bosons in a lattice has been a paradigm in many-body physics, and it exhibits a Mott insulator (MI)-superfluid (SF) transition at integer filling. Here a quantum simulator of the BHM using a superconducting circuit is proposed. Specifically, a superconducting transmission line resonator supporting microwave photons is coupled to a charge qubit to form one site of the BHM, and adjacent sites are connected by a tunable coupler. To obtain a mapping from the superconducting circuit to the BHM, we focus on the dispersive regime where the excitations remain photonlike. Standard perturbation theory is implemented to locate the parameter range where the MI-SF transition may be simulated. This simulator allows single-site manipulations and we illustrate this feature by considering two scenarios where a single-site manipulation can drive a MI-SF transition. The transition can be analyzed by mean-field analyses, and the exact diagonalization was implemented to provide accurate results. The variance of the photon density and the fidelity metric clearly show signatures of the transition. Lastly, experimental realizations and other possible applications of this simulator are also discussed.
- Authors:
-
- Univ. of California, Merced, CA (United States)
- Stanford Univ., CA (United States). Dept. of Applied Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- Publication Date:
- Research Org.:
- Univ. of California, Merced, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1254005
- Alternate Identifier(s):
- OSTI ID: 1180653
- Grant/Contract Number:
- AC02-05CH11231; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 5; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Deng, Xiuhao, Jia, Chunjing, and Chien, Chih-Chun. Sitewise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators. United States: N. p., 2015.
Web. doi:10.1103/PhysRevB.91.054515.
Deng, Xiuhao, Jia, Chunjing, & Chien, Chih-Chun. Sitewise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators. United States. https://doi.org/10.1103/PhysRevB.91.054515
Deng, Xiuhao, Jia, Chunjing, and Chien, Chih-Chun. Mon .
"Sitewise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators". United States. https://doi.org/10.1103/PhysRevB.91.054515. https://www.osti.gov/servlets/purl/1254005.
@article{osti_1254005,
title = {Sitewise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators},
author = {Deng, Xiuhao and Jia, Chunjing and Chien, Chih-Chun},
abstractNote = {We report that the Bose Hubbard model (BHM) of interacting bosons in a lattice has been a paradigm in many-body physics, and it exhibits a Mott insulator (MI)-superfluid (SF) transition at integer filling. Here a quantum simulator of the BHM using a superconducting circuit is proposed. Specifically, a superconducting transmission line resonator supporting microwave photons is coupled to a charge qubit to form one site of the BHM, and adjacent sites are connected by a tunable coupler. To obtain a mapping from the superconducting circuit to the BHM, we focus on the dispersive regime where the excitations remain photonlike. Standard perturbation theory is implemented to locate the parameter range where the MI-SF transition may be simulated. This simulator allows single-site manipulations and we illustrate this feature by considering two scenarios where a single-site manipulation can drive a MI-SF transition. The transition can be analyzed by mean-field analyses, and the exact diagonalization was implemented to provide accurate results. The variance of the photon density and the fidelity metric clearly show signatures of the transition. Lastly, experimental realizations and other possible applications of this simulator are also discussed.},
doi = {10.1103/PhysRevB.91.054515},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 5,
volume = 91,
place = {United States},
year = {Mon Feb 23 00:00:00 EST 2015},
month = {Mon Feb 23 00:00:00 EST 2015}
}
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