Circuit quantization in the presence of time-dependent external flux

You, Xinyuan; Sauls, J. A.; Koch, Jens

doi:10.1103/PhysRevB.99.174512

Title: Circuit quantization in the presence of time-dependent external flux

Abstract

Circuit quantization links a physical circuit to its corresponding quantum Hamiltonian. The standard quantization procedure generally assumes any external magnetic flux to be static. Time dependence naturally arises, however, when flux is modulated or when flux noise is considered. In this case, application of the existing quantization procedure can lead to inconsistencies. To resolve these, we generalize circuit quantization to incorporate time-dependent external flux.

Authors:

You, Xinyuan ^[1]; Sauls, J. A. ^[2]; Koch, Jens ^[2]

Northwestern Univ., Evanston, IL (United States). Center for Applied Physics and Superconducting Technologies
Northwestern Univ., Evanston, IL (United States). Center for Applied Physics and Superconducting Technologies, and Dept. of Physics and Astronomy

Publication Date:: Tue May 21 00:00:00 EDT 2019

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1542963

Report Number(s):: FERMILAB-PUB-19-267-TD
Journal ID: ISSN 2469-9950; PRBMDO; 1736455

Grant/Contract Number:: AC02-07CH11359

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 99; Journal Issue: 17; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    You, Xinyuan, Sauls, J. A., and Koch, Jens. Circuit quantization in the presence of time-dependent external flux.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevB.99.174512.

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                    You, Xinyuan, Sauls, J. A., & Koch, Jens. Circuit quantization in the presence of time-dependent external flux.  United States.  https://doi.org/10.1103/PhysRevB.99.174512

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                    You, Xinyuan, Sauls, J. A., and Koch, Jens. Tue .  
"Circuit quantization in the presence of time-dependent external flux".  United States.  https://doi.org/10.1103/PhysRevB.99.174512.  https://www.osti.gov/servlets/purl/1542963.

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@article{osti_1542963,

  title        = {Circuit quantization in the presence of time-dependent external flux},

  author       = {You, Xinyuan and Sauls, J. A. and Koch, Jens},

  abstractNote = {Circuit quantization links a physical circuit to its corresponding quantum Hamiltonian. The standard quantization procedure generally assumes any external magnetic flux to be static. Time dependence naturally arises, however, when flux is modulated or when flux noise is considered. In this case, application of the existing quantization procedure can lead to inconsistencies. To resolve these, we generalize circuit quantization to incorporate time-dependent external flux.},

  doi          = {10.1103/PhysRevB.99.174512},

  journal      = {Physical Review B},

  number       = 17,

  volume       = 99,

  place        = {United States},

  year         = {Tue May 21 00:00:00 EDT 2019},

  month        = {Tue May 21 00:00:00 EDT 2019}

}

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https://doi.org/10.1103/PhysRevB.99.174512

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Cited by: 33 works

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Figures / Tables:

FIG. 1: (a) Asymmetric SQUID formed by two Josephson junctions. Φ_l and Φ_r are branch flux variables for the left and right junction. The node flux $\phi$ is associated with the upper node, while the lower node is chosen to be the ground node. An external flux Φ_e threads themore »

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Works referenced in this record:

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Works referencing / citing this record:

Doubly nonlinear superconducting qubit
journal, December 2019

Le, Dat Thanh; Grimsmo, Arne; Müller, Clemens
Physical Review A, Vol. 100, Issue 6
DOI: 10.1103/physreva.100.062321

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Similar Records

Title: Circuit quantization in the presence of time-dependent external flux

Abstract

Citation Formats

Figures / Tables:

Universal Stabilization of a Parametrically Coupled Qubit journal, October 2017

Multilevel quantum description of decoherence in superconducting qubits journal, February 2004

Origin and Reduction of 1 / f Magnetic Flux Noise in Superconducting Devices journal, October 2016

Analytical modeling of parametrically modulated transmon qubits journal, February 2018

Fluxonium: Single Cooper-Pair Circuit Free of Charge Offsets journal, October 2009

Coherence properties of the 0- π qubit journal, April 2018

Decoherence of Flux Qubits due to 1 / f Flux Noise journal, October 2006

Decoherence of an electrically driven spin qubit journal, August 2014

Charging Effects in the Inductively Shunted Josephson Junction journal, November 2009

Decoherence in a superconducting quantum bit circuit journal, October 2005

Universal stabilization of single-qubit states using a tunable coupler journal, June 2018

Random access quantum information processors using multimode circuit quantum electrodynamics journal, December 2017

Quantum network theory journal, March 1984

Dual approach to circuit quantization using loop charges journal, September 2016

Low‐frequency noise in dc superconducting quantum interference devices below 1 K journal, March 1987

First-order sidebands in circuit QED using qubit frequency modulation journal, August 2012

Demonstration of universal parametric entangling gates on a multi-qubit lattice journal, February 2018

Introduction to quantum noise, measurement, and amplification journal, April 2010

Dephasing due to quasiparticle tunneling in fluxonium qubits: a phenomenological approach journal, June 2015

Canonical circuit quantization with linear nonreciprocal devices journal, January 2019

Energy protection arguments fail in the interaction picture journal, August 2007

Solutions of the time dependent Schrödinger equation for a SQUID ring journal, April 1997

Black-Box Superconducting Circuit Quantization journal, June 2012

Charge- and Flux-Insensitive Tunable Superconducting Qubit journal, August 2017

Introduction to quantum electromagnetic circuits: Introduction to quantum electromagnetic circuits journal, June 2017

Superconducting Circuits for Quantum Information: An Outlook journal, March 2013

First-order sideband transitions with flux-driven asymmetric transmon qubits journal, June 2013

Physics and Applications of the Josephson Effect book, July 1982

Four-junction superconducting circuit journal, June 2016

Doubly nonlinear superconducting qubit journal, December 2019

Universal Stabilization of a Parametrically Coupled Qubit
journal, October 2017

Multilevel quantum description of decoherence in superconducting qubits
journal, February 2004

Origin and Reduction of $1 / f$ Magnetic Flux Noise in Superconducting Devices
journal, October 2016

Analytical modeling of parametrically modulated transmon qubits
journal, February 2018

Fluxonium: Single Cooper-Pair Circuit Free of Charge Offsets
journal, October 2009

Coherence properties of the 0- π qubit
journal, April 2018

Decoherence of Flux Qubits due to $1 / f$ Flux Noise
journal, October 2006

Decoherence of an electrically driven spin qubit
journal, August 2014

Charging Effects in the Inductively Shunted Josephson Junction
journal, November 2009

Decoherence in a superconducting quantum bit circuit
journal, October 2005

Universal stabilization of single-qubit states using a tunable coupler
journal, June 2018

Random access quantum information processors using multimode circuit quantum electrodynamics
journal, December 2017

Quantum network theory
journal, March 1984

Dual approach to circuit quantization using loop charges
journal, September 2016

Low‐frequency noise in dc superconducting quantum interference devices below 1 K
journal, March 1987

First-order sidebands in circuit QED using qubit frequency modulation
journal, August 2012

Demonstration of universal parametric entangling gates on a multi-qubit lattice
journal, February 2018

Introduction to quantum noise, measurement, and amplification
journal, April 2010

Dephasing due to quasiparticle tunneling in fluxonium qubits: a phenomenological approach
journal, June 2015

Canonical circuit quantization with linear nonreciprocal devices
journal, January 2019

Energy protection arguments fail in the interaction picture
journal, August 2007

Solutions of the time dependent Schrödinger equation for a SQUID ring
journal, April 1997

Black-Box Superconducting Circuit Quantization
journal, June 2012

Charge- and Flux-Insensitive Tunable Superconducting Qubit
journal, August 2017

Introduction to quantum electromagnetic circuits: Introduction to quantum electromagnetic circuits
journal, June 2017

Superconducting Circuits for Quantum Information: An Outlook
journal, March 2013

First-order sideband transitions with flux-driven asymmetric transmon qubits
journal, June 2013

Physics and Applications of the Josephson Effect
book, July 1982

Four-junction superconducting circuit
journal, June 2016

Doubly nonlinear superconducting qubit
journal, December 2019