Sitewise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators

Deng, Xiuhao; Jia, Chunjing; Chien, Chih-Chun

doi:10.1103/PhysRevB.91.054515

Title: Sitewise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators

Journal Article · Mon Feb 23 00:00:00 EST 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.91.054515· OSTI ID:1254005

Deng, Xiuhao ^[1]; Jia, Chunjing ^[2]; Chien, Chih-Chun ^[1]

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)

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.

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Research Organization:: Univ. of California, Merced, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-05CH11231; AC02-76SF00515

OSTI ID:: 1254005

Alternate ID(s):: OSTI ID: 1180653

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 91, Issue 5; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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References (88)

Quantum simulations with trapped ions Blatt, R.; Roos, C. F. Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2252	journal	April 2012
Quantum simulations with ultracold quantum gases Bloch, Immanuel; Dalibard, Jean; Nascimbène, Sylvain Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2259	journal	April 2012
Photonic quantum simulators Aspuru-Guzik, Alán; Walther, Philip Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2253	journal	April 2012
Quantum simulation of dynamical maps with trapped ions Schindler, P.; Müller, M.; Nigg, D. Nature Physics, Vol. 9, Issue 6 https://doi.org/10.1038/nphys2630	journal	May 2013
A large-scale quantum simulator on a diamond surface at room temperature Cai, Jianming; Retzker, Alex; Jelezko, Fedor Nature Physics, Vol. 9, Issue 3 https://doi.org/10.1038/nphys2519	journal	January 2013
Quantum simulation Georgescu, I. M.; Ashhab, S.; Nori, Franco Reviews of Modern Physics, Vol. 86, Issue 1 https://doi.org/10.1103/RevModPhys.86.153	journal	March 2014
On-chip quantum simulation with superconducting circuits Houck, Andrew A.; Türeci, Hakan E.; Koch, Jens Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2251	journal	April 2012
The Bose-Hubbard model: from Josephson junction arrays to optical lattices Bruder, C.; Fazio, R.; Schön, G. Annalen der Physik, Vol. 14, Issue 9-10 https://doi.org/10.1002/andp.200510157	journal	September 2005
Superconducting Circuits for Quantum Information: An Outlook Devoret, M. H.; Schoelkopf, R. J. Science, Vol. 339, Issue 6124 https://doi.org/10.1126/science.1231930	journal	March 2013
Charge quantization and dissipation in arrays of small Josephson junctions Geerligs, L. J.; Mooij, J. E. Physica B: Condensed Matter, Vol. 152, Issue 1-2 https://doi.org/10.1016/0921-4526(88)90090-7	journal	August 1988
Quantum phase transitions and vortex dynamics in superconducting networks Fazio, R. Physics Reports, Vol. 355, Issue 4 https://doi.org/10.1016/S0370-1573(01)00022-9	journal	December 2001
Reaching 10 ms single photon lifetimes for superconducting aluminum cavities Reagor, Matthew; Paik, Hanhee; Catelani, Gianluigi Applied Physics Letters, Vol. 102, Issue 19 https://doi.org/10.1063/1.4807015	journal	May 2013
Superconducting quantum circuits at the surface code threshold for fault tolerance Barends, R.; Kelly, J.; Megrant, A. Nature, Vol. 508, Issue 7497 https://doi.org/10.1038/nature13171	journal	April 2014
Implementing a strand of a scalable fault-tolerant quantum computing fabric Chow, Jerry M.; Gambetta, Jay M.; Magesan, Easwar Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5015	journal	June 2014
Tunable and switchable coupling between two superconducting resonators Baust, A.; Hoffmann, E.; Haeberlein, M. Physical Review B, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevB.91.014515	journal	January 2015
Fast Tunable Coupler for Superconducting Qubits Bialczak, R. C.; Ansmann, M.; Hofheinz, M. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.060501	journal	February 2011
Qubit Architecture with High Coherence and Fast Tunable Coupling Chen, Yu; Neill, C.; Roushan, P. Physical Review Letters, Vol. 113, Issue 22 https://doi.org/10.1103/PhysRevLett.113.220502	journal	November 2014
One-Dimensional Mott Insulator Formed by Quantum Vortices in Josephson Junction Arrays van Oudenaarden, Alexander; Mooij, J. E. Physical Review Letters, Vol. 76, Issue 26 https://doi.org/10.1103/PhysRevLett.76.4947	journal	June 1996
Circuit QED lattices: Towards quantum simulation with superconducting circuits: Circuit QED lattices Schmidt, Sebastian; Koch, Jens Annalen der Physik, Vol. 525, Issue 6 https://doi.org/10.1002/andp.201200261	journal	April 2013
Networks of nonlinear superconducting transmission line resonators Leib, M.; Deppe, F.; Marx, A. New Journal of Physics, Vol. 14, Issue 7 https://doi.org/10.1088/1367-2630/14/7/075024	journal	July 2012
Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED Viehmann, Oliver; von Delft, Jan; Marquardt, Florian Physical Review Letters, Vol. 110, Issue 3 https://doi.org/10.1103/PhysRevLett.110.030601	journal	January 2013
Encoding a qubit with Majorana modes in superconducting circuits You, J. Q.; Wang, Z. D.; Zhang, Wenxian Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep05535	journal	July 2014
Boson localization and the superfluid-insulator transition Fisher, Matthew P. A.; Weichman, Peter B.; Grinstein, G. Physical Review B, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevB.40.546	journal	July 1989
A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice Bakr, Waseem S.; Gillen, Jonathon I.; Peng, Amy Nature, Vol. 462, Issue 7269 https://doi.org/10.1038/nature08482	journal	November 2009
Probing the Superfluid-to-Mott Insulator Transition at the Single-Atom Level Bakr, W. S.; Peng, A.; Tai, M. E. Science, Vol. 329, Issue 5991 https://doi.org/10.1126/science.1192368	journal	June 2010
Cold Bosonic Atoms in Optical Lattices Jaksch, D.; Bruder, C.; Cirac, J. I. Physical Review Letters, Vol. 81, Issue 15 https://doi.org/10.1103/PhysRevLett.81.3108	journal	October 1998
Quantum many-body phenomena in coupled cavity arrays Hartmann, M. J.; Brandão, F. G. S. L.; Plenio, M. B. Laser & Photonics Review, Vol. 2, Issue 6 https://doi.org/10.1002/lpor.200810046	journal	December 2008
Superfluid–Mott-insulator transition of light in the Jaynes-Cummings lattice Koch, Jens; Le Hur, Karyn Physical Review A, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevA.80.023811	journal	August 2009
Quantum phase transitions of light Greentree, Andrew D.; Tahan, Charles; Cole, Jared H. Nature Physics, Vol. 2, Issue 12 https://doi.org/10.1038/nphys466	journal	November 2006
Strong Photon Nonlinearities and Photonic Mott Insulators Hartmann, Michael J.; Plenio, Martin B. Physical Review Letters, Vol. 99, Issue 10 https://doi.org/10.1103/PhysRevLett.99.103601	journal	September 2007
Strongly interacting polaritons in coupled arrays of cavities Hartmann, Michael J.; Brandão, Fernando G. S. L.; Plenio, Martin B. Nature Physics, Vol. 2, Issue 12 https://doi.org/10.1038/nphys462	journal	November 2006
Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice Zhu, Shi-Liang; Wang, Z. -D.; Chan, Y. -H. Physical Review Letters, Vol. 110, Issue 7 https://doi.org/10.1103/PhysRevLett.110.075303	journal	February 2013
Topological Edge States in the One-Dimensional Superlattice Bose-Hubbard Model Grusdt, Fabian; Höning, Michael; Fleischhauer, Michael Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.260405	journal	June 2013
Quantum-state engineering with Josephson-junction devices Makhlin, Yuriy; Schön, Gerd; Shnirman, Alexander Reviews of Modern Physics, Vol. 73, Issue 2 https://doi.org/10.1103/RevModPhys.73.357	journal	May 2001
Observation of High Coherence in Josephson Junction Qubits Measured in a Three-Dimensional Circuit QED Architecture Paik, Hanhee; Schuster, D. I.; Bishop, Lev S. Physical Review Letters, Vol. 107, Issue 24 https://doi.org/10.1103/PhysRevLett.107.240501	journal	December 2011
Superconducting qubit in a waveguide cavity with a coherence time approaching 0.1 ms Rigetti, Chad; Gambetta, Jay M.; Poletto, Stefano Physical Review B, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevB.86.100506	journal	September 2012
Decoupling a Cooper-Pair Box to Enhance the Lifetime to 0.2 ms Kim, Z.; Suri, B.; Zaretskey, V. Physical Review Letters, Vol. 106, Issue 12 https://doi.org/10.1103/PhysRevLett.106.120501	journal	March 2011
Protecting superconducting qubits with a universal quantum degeneracy point Deng, X-H; Hu, Y.; Tian, Lin Superconductor Science and Technology, Vol. 26, Issue 11 https://doi.org/10.1088/0953-2048/26/11/114002	journal	September 2013
Improving the coherence time of superconducting coplanar resonators Wang, H.; Hofheinz, M.; Wenner, J. Applied Physics Letters, Vol. 95, Issue 23 https://doi.org/10.1063/1.3273372	journal	December 2009
Implementing Qubits with Superconducting Integrated Circuits devoret, Michel H.; Martinis, John M. Quantum Information Processing, Vol. 3, Issue 1-5 https://doi.org/10.1007/s11128-004-3101-5	journal	October 2004
Superconducting quantum bits Clarke, John; Wilhelm, Frank K. Nature, Vol. 453, Issue 7198 https://doi.org/10.1038/nature07128	journal	June 2008
Exact diagonalization: the Bose–Hubbard model as an example Zhang, J. M.; Dong, R. X. European Journal of Physics, Vol. 31, Issue 3 https://doi.org/10.1088/0143-0807/31/3/016	journal	April 2010
Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation Blais, Alexandre; Huang, Ren-Shou; Wallraff, Andreas Physical Review A, Vol. 69, Issue 6 https://doi.org/10.1103/PhysRevA.69.062320	journal	June 2004
Comparison of quantum and semiclassical radiation theories with application to the beam maser Jaynes, E. T.; Cummings, F. W. Proceedings of the IEEE, Vol. 51, Issue 1 https://doi.org/10.1109/PROC.1963.1664	journal	January 1963
Photon-blockade-induced Mott transitions and $X Y$ spin models in coupled cavity arrays Angelakis, Dimitris G.; Santos, Marcelo Franca; Bose, Sougato Physical Review A, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevA.76.031805	journal	September 2007
Bose–Hubbard dynamics of polaritons in a chain of circuit quantum electrodynamics cavities Leib, Martin; Hartmann, Michael J. New Journal of Physics, Vol. 12, Issue 9 https://doi.org/10.1088/1367-2630/12/9/093031	journal	September 2010
Generating single microwave photons in a circuit Houck, A. A.; Schuster, D. I.; Gambetta, J. M. Nature, Vol. 449, Issue 7160 https://doi.org/10.1038/nature06126	journal	September 2007
Nonlinear response of the vacuum Rabi resonance Bishop, Lev S.; Chow, J. M.; Koch, Jens Nature Physics, Vol. 5, Issue 2 https://doi.org/10.1038/nphys1154	journal	December 2008
Parametric four-wave mixing toolbox for superconducting resonators Sharypov, A. V.; Deng, Xiuhao; Tian, Lin Physical Review B, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevB.86.014516	journal	July 2012
Charge-insensitive qubit design derived from the Cooper pair box Koch, Jens; Yu, Terri M.; Gambetta, Jay Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.042319	journal	October 2007
Quantum switch for single-photon transport in a coupled superconducting transmission-line-resonator array Liao, Jie-Qiao; Huang, Jin-Feng; Liu, Yu-xi Physical Review A, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevA.80.014301	journal	July 2009
Tunable coupling engineering between superconducting resonators: From sidebands to effective gauge fields Peropadre, Borja; Zueco, David; Wulschner, Friedrich Physical Review B, Vol. 87, Issue 13 https://doi.org/10.1103/PhysRevB.87.134504	journal	April 2013
Analysis of a tunable coupler for superconducting phase qubits Pinto, Ricardo A.; Korotkov, Alexander N.; Geller, Michael R. Physical Review B, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevB.82.104522	journal	September 2010
Tunable Coupling in Circuit Quantum Electrodynamics Using a Superconducting Charge Qubit with a $V$ -Shaped Energy Level Diagram Srinivasan, S. J.; Hoffman, A. J.; Gambetta, J. M. Physical Review Letters, Vol. 106, Issue 8 https://doi.org/10.1103/PhysRevLett.106.083601	journal	February 2011
Quantum Phase Transitions Sachdev, Subir https://doi.org/10.1017/CBO9780511973765	book	January 2011
Fidelity approach to the Hubbard model Campos Venuti, L.; Cozzini, M.; Buonsante, P. Physical Review B, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevB.78.115410	journal	September 2008
Fidelity study of the superconducting phase diagram in the two-dimensional single-band Hubbard model Jia, C. J.; Moritz, B.; Chen, C. -C. Physical Review B, Vol. 84, Issue 12 https://doi.org/10.1103/PhysRevB.84.125113	journal	September 2011
Effects of strong correlations and disorder in $d$ -wave superconductors Rigol, Marcos; Shastry, B. Sriram; Haas, Stephan Physical Review B, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevB.79.052502	journal	February 2009
Quantum Critical Scaling of the Geometric Tensors Campos Venuti, Lorenzo; Zanardi, Paolo Physical Review Letters, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevLett.99.095701	journal	August 2007
Fidelity, dynamic structure factor, and susceptibility in critical phenomena You, Wen-Long; Li, Ying-Wai; Gu, Shi-Jian Physical Review E, Vol. 76, Issue 2 https://doi.org/10.1103/PhysRevE.76.022101	journal	August 2007
Ground state overlap and quantum phase transitions Zanardi, Paolo; Paunković, Nikola Physical Review E, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevE.74.031123	journal	September 2006
Low-disorder microwave cavity lattices for quantum simulation with photons Underwood, D. L.; Shanks, W. E.; Koch, Jens Physical Review A, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevA.86.023837	journal	August 2012
Superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors Danshita, Ippei; Polkovnikov, Anatoli Physical Review A, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevA.84.063637	journal	December 2011
Dynamic properties of the one-dimensional Bose-Hubbard model Ejima, S.; Fehske, H.; Gebhard, F. EPL (Europhysics Letters), Vol. 93, Issue 3 https://doi.org/10.1209/0295-5075/93/30002	journal	February 2011
Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics Wallraff, A.; Schuster, D. I.; Blais, A. Nature, Vol. 431, Issue 7005 https://doi.org/10.1038/nature02851	journal	September 2004
Synthesizing arbitrary quantum states in a superconducting resonator Hofheinz, Max; Wang, H.; Ansmann, M. Nature, Vol. 459, Issue 7246 https://doi.org/10.1038/nature08005	journal	May 2009
Atomic physics and quantum optics using superconducting circuits You, J. Q.; Nori, Franco Nature, Vol. 474, Issue 7353 https://doi.org/10.1038/nature10122	journal	June 2011
Sisyphus cooling and amplification by a superconducting qubit Grajcar, M.; van der Ploeg, S. H. W.; Izmalkov, A. Nature Physics, Vol. 4, Issue 8 https://doi.org/10.1038/nphys1019	journal	July 2008
Microwave-Induced Cooling of a Superconducting Qubit Valenzuela, S. O.; Oliver, W. D.; Berns, D. M. Science, Vol. 314, Issue 5805 https://doi.org/10.1126/science.1134008	journal	December 2006
Simultaneous Cooling of an Artificial Atom and Its Neighboring Quantum System You, J. Q.; Liu, Yu-xi; Nori, Franco Physical Review Letters, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevLett.100.047001	journal	January 2008
Analog information processing at the quantum limit with a Josephson ring modulator Bergeal, N.; Vijay, R.; Manucharyan, V. E. Nature Physics, Vol. 6, Issue 4 https://doi.org/10.1038/nphys1516	journal	February 2010
Photon shell game in three-resonator circuit quantum electrodynamics Mariantoni, Matteo; Wang, H.; Bialczak, Radoslaw C. Nature Physics, Vol. 7, Issue 4 https://doi.org/10.1038/nphys1885	journal	January 2011
Emulating weak localization using a solid-state quantum circuit Chen, Yu; Roushan, P.; Sank, D. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms6184	journal	October 2014
Correlations, indistinguishability and entanglement in Hong–Ou–Mandel experiments at microwave frequencies Lang, C.; Eichler, C.; Steffen, L. Nature Physics, Vol. 9, Issue 6 https://doi.org/10.1038/nphys2612	journal	May 2013
Deterministic entanglement of superconducting qubits by parity measurement and feedback Ristè, D.; Dukalski, M.; Watson, C. A. Nature, Vol. 502, Issue 7471 https://doi.org/10.1038/nature12513	journal	October 2013
Catch and Release of Microwave Photon States Yin, Yi; Chen, Yu; Sank, Daniel Physical Review Letters, Vol. 110, Issue 10 https://doi.org/10.1103/PhysRevLett.110.107001	journal	March 2013
Quantum Coherent Tunable Coupling of Superconducting Qubits Niskanen, A. O.; Harrabi, K.; Yoshihara, F. Science, Vol. 316, Issue 5825 https://doi.org/10.1126/science.1141324	journal	May 2007
Antibunching of microwave-frequency photons observed in correlation measurements using linear detectors Bozyigit, D.; Lang, C.; Steffen, L. Nature Physics, Vol. 7, Issue 2 https://doi.org/10.1038/nphys1845	journal	December 2010
Exploiting Kerr cross nonlinearity in circuit quantum electrodynamics for nondemolition measurements Kumar, Shwetank; DiVincenzo, David P. Physical Review B, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevB.82.014512	journal	July 2010
Quantum non-demolition detection of single microwave photons in a circuit Johnson, B. R.; Reed, M. D.; Houck, A. A. Nature Physics, Vol. 6, Issue 9 https://doi.org/10.1038/nphys1710	journal	June 2010
Quantum nondemolition measurement of microwave photons using engineered quadratic interactions Deng, Chunqing; Gambetta, J. M.; Lupaşcu, A. Physical Review B, Vol. 82, Issue 22 https://doi.org/10.1103/PhysRevB.82.220505	journal	December 2010
Dynamically protected cat-qubits: a new paradigm for universal quantum computation Mirrahimi, Mazyar; Leghtas, Zaki; Albert, Victor V. New Journal of Physics, Vol. 16, Issue 4 https://doi.org/10.1088/1367-2630/16/4/045014	journal	April 2014
Stabilization of Nonclassical States of the Radiation Field in a Cavity by Reservoir Engineering Sarlette, A.; Raimond, J. M.; Brune, M. Physical Review Letters, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevLett.107.010402	journal	July 2011
Continuous generation and stabilization of mesoscopic field superposition states in a quantum circuit Roy, Ananda; Leghtas, Zaki; Stone, A. Douglas Physical Review A, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevA.91.013810	journal	January 2015
Direct measurement of the Zak phase in topological Bloch bands Atala, Marcos; Aidelsburger, Monika; Barreiro, Julio T. Nature Physics, Vol. 9, Issue 12 https://doi.org/10.1038/nphys2790	journal	November 2013
Colloquium : Nonequilibrium dynamics of closed interacting quantum systems Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro Reviews of Modern Physics, Vol. 83, Issue 3 https://doi.org/10.1103/RevModPhys.83.863	journal	August 2011
One dimensional bosons: From condensed matter systems to ultracold gases Cazalilla, M. A.; Citro, R.; Giamarchi, T. Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1405	journal	December 2011
Landauer, Kubo, and microcanonical approaches to quantum transport and noise: A comparison and implications for cold-atom dynamics Chien, Chih-Chun; Di Ventra, Massimiliano; Zwolak, Michael Physical Review A, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevA.90.023624	journal	August 2014

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