geller theory group
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We are focused primarily on quantum computation. We are especially interested in the design and use of the first generation of quantum computers and work closely with the UCSB superconducting quantum computation group of John Martinis and Andrew Cleland. Our work is currently supported by the NSF and IARPA.
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news
Ghosh receives department's Kirkpatrick Award (apr 12)
Ghosh receives department's Anderson-Pioletti Award (apr 10)
UGA team awarded NSF EAGER grant (aug 09)
invited talk at Harvard photosynthesis workshop (oct 08)
invited talk at 22nd International Conference on Theoretical Physics, Ustron (sep 08)
invited talk at Hangzhou conference (nov 07)
Pritchett awarded James Carmon scholarship (dec 06)
nanomechanics summer school to be held at Caltech (aug 06)
uga creative research medal (may 06)
quantum computing work to be presented at NATO summer school (april 05)
quantum computing article in UGA Columns (oct 04)
quantum computing work featured in Nature Materials (aug 04)
Patton receives department's Cummings Award (april 04)
people
| Principal Investigator | |||
| Michael Geller | Room 251 | 706-340-6021 | mgeller@uga.edu |
| Graduate Students | |||
| Joydip Ghosh | Room 228B | 706-338-9946 | jghosh@physast.uga.edu |
| Postdocs | |||
| Hao You | Room 306D | 706-542-5593 | haoyou@physast.uga.edu |
| Research professional | |||
| Zhongyuan Zhou | Room 228E | 706-542-2891 | zyzhou@uga.edu |
| Alumni | |||
| Chun-Min Chang | Brigham Young University, Provo | chunmins@gmail.com | |
| Andrei Gailautdinov | University of Californa, Riverside | andreig@ee.ucr.edu | |
| Vadim Markel | University of Pennsylvania, Philadelphia | vmarkel@mail.med.upenn.edu | |
| Kelly Patton | Louisiana State University, Baton Rouge | kpatton@lsu.edu | |
| Emily Pritchett | Saarland University, Germany | emily.pritchett@gmail.com | |
| Shi-Xian Qu | Shaanxi Normal University, Xi'an | sxqu@snnu.edu.cn | |
| Joel Varley | University of California, Santa Barbara | jvarley@physics.ucsb.edu | |
| Ho-Soon Yang | Pusan National University, Pusan | hsyang@pusan.ac.kr | |
Former undergraduate students: Scott Baker, Corey Bettenhausen, Layne Bradley, Wade Bowie, Sarah Dunning, Matthew Glisson, Lon Higginbotham, Richard Milligan, Claudia Niculas, Eugene Pamfiloff, Emily Pritchett, Andrew Pruett, Nathan Reeves, Daniel Simon, Jennifer Storbeck, Michael Taylor, and Joel Varley.
information
quantum computing journal club
seminar links
publications
preprints
| Universal quantum simulation with pre-threshold superconducting qubits: Single-excitation subspace method | |||
| M. R. Geller, J. M. Martinis, A. T. Sornborger, P. C. Stancil, E. J. Pritchett, and A. Galiautdinov | |||
| arXiv:1210.5260 | |||
| Factoring 51 and 85 with 8 qubits | |||
| M. R. Geller and Z. Zhou | |||
| arXiv:1304.0128 | |||
2013
| 68. | High-fidelity CZ gate for resonator-based superconducting quantum computers | ||
| J. Ghosh, A. Galiautdinov, Z. Zhou, A. N. Korotkov, J. M. Martinis, and M. R. Geller | |||
| Phys. Rev. A 87, 022309 (2013) | |||
| 69. | Simulating the transverse Ising model on a quantum computer: Error correction with the surface code | ||
| H. You, M. R. Geller, and P. C. Stancil | |||
| Phys. Rev. A 87, 032341 (2013) | |||
2012
| 67. | Surface code with decoherence: An analysis of three superconducting architecture | ||
| J. Ghosh, A. G. Fowler, and M. R. Geller | |||
| Phys. Rev. A 86, 062318 (2012) | |||
2011
| 65. | Controlled-NOT logic gate for phase qubits based on conditional spectroscopy | ||
| J. Ghosh and M. R. Geller | |||
| Quant. Inf. Process. 11, 1349 (2011) | |||
| 66. | Hot electrons and electron-phonon coupling in a cylindrical nanoshell | ||
| S.-X. Qu, Y.-N. Zhao, L. Zhang, and M. R. Geller | |||
| Journal of Nanoscience and Nanotechnology 11, 9984 (2011) | |||
2010
| 62. | Quantum logic with weakly coupled qubits | ||
| M. R. Geller, E. J. Pritchett, A. Galiautdinov, and J. M. Martinis | |||
| Phys. Rev. A 81, 012320 (2010) | |||
| 63. | CNOT gate with weakly coupled qubits: Dependence of fidelity on form of interaction | ||
| J. Ghosh and M. R. Geller | |||
| Phys. Rev. A 81, 052340 (2010) | |||
| 64. | Analysis of a tunable coupler for superconducting phase qubits | ||
| R. A. Pinto, A. Korotkov, M. R. Geller, V. S. Shumeiko, and J. M. Martinis | |||
| Phys. Rev. B 82, 104522 (2010) | |||
2009
| 60. | Quantum gate design: A perspective | ||
| M. R. Geller, E. J. Pritchett, A. Galiautdinov, and J. M. Martinis | |||
| Phys. Status Solidi B 246, 972 (2009) | |||
| 61. | Emulation of a quantum spin with a superconducting phase qudit | ||
| M. Neeley, M. Ansmann, R. C. Bialczak, M. Hofheinz, E. Lucero, A. O’Connell, D. Sank, H. Wang, J. Wenner, A. N. Cleland, M. R. Geller, and J. M. Martinis, | |||
| Science 325, 722 (2009) | |||
2008
| 58. | Tunneling into a fractional quantum Hall system and the infrared catastrophe | ||
| K. R. Patton and M. R. Geller | |||
| J. Phys. Cond. Matt. 20, 295210 (2008) | |||
| 59. | Quantum computing with electrical circuits: Hamiltonian construction for basic qubit-resonator models | ||
| M. R. Geller | |||
in Condensed Matter Physics in the Prime of the 21st Century, edited by Janusz Jedrzejewski (World Scientific, 2008). page 89 |
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2007
| 56. | Quantum computing with superconductors I: Architectures | ||
| M. R. Geller, E. J. Pritchett, A. T. Sornborger, and F. K. Wilhelm | |||
| in Manipulating Quantum Coherence in Solid State Systems, edited by M. E. Flatte and I. Tifrea (Springer, 2007). page 171 | |||
| 57. | Superconducting qubits II: Decoherence | ||
| F. K. Wilhelm, M. J. Storcz, U. Hartmann, and M. R. Geller | |||
| in Manipulating Quantum Coherence in Solid State Systems, edited by M. E. Flatte and I. Tifrea (Springer, 2007). page 195 | |||
2006
| 53. | Infrared catastrophe and tunneling into strongly correlated electron systems: Beyond the x-ray edge limit | ||
| K. R. Patton and M. R. Geller | |||
| Phys. Rev. B 73, 125416 (2006) | |||
| 54. | Aharonov-Bohm effect in the non-Abelian quantum Hall fluid | ||
| L. S. Georgiev and M. R. Geller | |||
| Phys. Rev. B 73, 205310 (2006) | |||
| 55. | Infrared catastrophe and tunneling into strongly correlated electron systems: Exact x-ray edge limit for the 1D electron gas and 2D Hall fluid | ||
| K. R. Patton and M. R. Geller | |||
| Phys. Rev. B 73, 245306 (2006) | |||
2005
| 46. | Mesoscopic phonon transmission through a nanowire-bulk contact | ||
| C.-M. Chang and M. R. Geller | |||
| Phys. Rev. B 71, 125304 (2005) | |||
| 47. | Superconducting qubits coupled to NEMS resonators: An architecture for solid-state quantum information processing | ||
| M. R. Geller and A. N. Cleland | |||
| Phys. Rev. A 71, 32311 (2005) | |||
| 48. | Quantum memory for superconducting qubits | ||
| E. J. Pritchett and M. R. Geller | |||
| Phys. Rev. A 72, 10301 (2005) | |||
| 49. | Thermodynamic equivalence of certain ideal Bose and Fermi gases | ||
| K. R. Patton, M. R. Geller, and M. P. Blencowe | |||
| Physica A 357, 427 (2005) | |||
| 50. | Infrared catastrophe and tunneling into strongly correlated electron systems: Perturbative x-ray edge limit | ||
| K. R. Patton and M. R. Geller | |||
| Phys. Rev. B 72, 125108 (2005) | |||
| 51. | Hot electrons in low-dimensional phonon systems | ||
| S.-X. Qu, A. N. Cleland, and M. R. Geller | |||
| Phys. Rev. B 72, 224301 (2005) | |||
| 52. | Mechanical quantum resonators | ||
| A. N. Cleland and M. R. Geller | |||
| in Electronic Properties of Novel Nanostructures, AIP Conf. Proc. 786, 396 (2005) | |||
2004
| 41. | Superconducting qubit storage and entanglement with nanomechanical resonators | ||
| A. N. Cleland and M. R. Geller | |||
| Phys. Rev. Lett. 93, 70501 (2004) | |||
| 42. | Mesoscopic electron and phonon transport through a curved wire | ||
| S.- X. Qu and M. R. Geller | |||
| Phys. Rev. B 70, 85414 (2004) | |||
| 43. | Magnetic-moment oscillations in a quantum Hall ring | ||
| L. S. Georgiev and M. R. Geller | |||
| Phys. Rev. B 70, 155304 (2004) | |||
| 44. | Superconducting phase qubit coupled to a nanomechanical resonator: Beyond the rotating-wave approximation | ||
| A. T. Sornborger, A. N. Cleland, and M. R. Geller | |||
| Phys. Rev. A 70, 52315 (2004) | |||
| 45. | Local phonon density of states in an elastic substrate | ||
| M. R. Geller | |||
| Phys. Rev. B 70 205421 (2004) | |||
2003
| 37. | Phonons in a nanoparticle mechanically coupled to a substrate | ||
| K. R. Patton and M. R. Geller | |||
| Phys. Rev. B 67, 155418 (2003) | |||
| 38. | Working with Walter | ||
| M. R. Geller | |||
| in Walter Kohn: Personal Stories and Anecdotes Told by Friends and Collaborators (Springer-Verlag, Berlin, 2003) | |||
| 39. | Elasticity theory connection rules for epitaxial interfaces | ||
| C. W. Bettenhausen, W. C. Bowie, and M. R. Geller | |||
| Phys. Rev. B 68, 35431 (2003) | |||
| 40. | Quantum phenomena in low-dimensional systems | ||
| M. R. Geller | |||
| UNESCO Encyclopedia of Life Support Systems, available on-line at www.eolss.net | |||
2002
| 34. | Theory of electron-phonon dynamics in insulating nanoparticles | ||
| M. R. Geller, W. M. Dennis, V. A. Markel, K. R. Patton, D. T. Simon, and H.- S. Yang | |||
| Physica B 316, 430 (2002) | |||
| 35. | Mesoscopic thermal transport through a weak link | ||
| M. R. Geller and K. R. Patton | |||
| Physica B 316, 445 (2002) | |||
| 36. | Instanton method for the electron propagator | ||
| M. R. Geller | |||
| Physica E 12, 84 (2002) | |||
2001
| 30. | Vortex dynamics in the two-fluid model | ||
| D. J. Thouless, M. R. Geller, W. F. Vinen, J. Y. Fortin, and S. W. Rhee | |||
| Phys. Rev. B 63, 224504 (2001) | |||
| 31. | Electron-phonon dynamics in an ensemble of nearly isolated nanoparticles | ||
| D. T. Simon and M. R. Geller | |||
| Phys. Rev. B 64, 115412 (2001) | |||
| 32. | Thermal transport through a mesoscopic weak link | ||
| K. R. Patton and M. R. Geller | |||
| Phys. Rev. B 64, 155320 (2001) | |||
| 33. | Phonon spectrum in a nanoparticle mechanically coupled to a substrate | ||
| K. R. Patton and M. R. Geller | |||
| J. Lumin. 94, 747 (2001) | |||
2000
| 26. | One-phonon relaxation of localized electronic states in anharmonic nanoparticles | ||
| V. A. Markel and M. R. Geller | |||
| J. Phys. Cond. Mat. 12, 7569 (2000) | |||
| 27. | Noninertial mechanism for electronic energy relaxation in nanoparticles | ||
| H.- S. Yang, M. R. Geller, and W. M. Dennis | |||
| Phys. Rev. B 62, 9398 (2000) | |||
| 28. | Coulomb blockade in the fractional quantum Hall effect regime | ||
| M. R. Geller and D. Loss | |||
| Phys. Rev. B 62, 16298 (2000) | |||
| 29. | Iordanskii and Lifshitz-Pitaevskii forces in the two-fluid model | ||
| M. R. Geller, D. J. Thouless, S. W. Rhee, and W. F. Vinen | |||
| J. Low Temp. Phys. 121, 411 (2000) | |||
1999
| 25. | Fictitious forces and electronic energy relaxation in nanocrystals | ||
| H.- S. Yang and M. R. Geller | |||
| J. Lumin. 83, 317 (1999) | |||
1998
| 22. | Transverse force on a quantized vortex in a superconductor | ||
| M. R. Geller, C. Wexler, and D. J. Thouless | |||
| Phys. Rev. B 57, 8119 (1998) | |||
| 23. | Coherent transport through a quantum dot in a strong magnetic field | ||
| M. R. Geller | |||
| Physica B 249, 388 (1998) | |||
| 24. | Phase-coherent transport through a mesoscopic system: A new probe of non-Fermi-liquid behavior | ||
| M. R. Geller | |||
| Phys. Rev. Lett. 80, 5393 (1998) | |||
1997
| 17. | Luttinger liquid and composite fermions in nanostructures: What is the nature of the edge states in the FQHE regime? | ||
| M. R. Geller, D. Loss and G. Kirczenow | |||
| Superlattices and Microstructures 21, 49 (1997) | |||
| 18. | Dynamics of electrons in graded semiconductors | ||
| M. R. Geller | |||
| Phys. Rev. Lett. 78, 110 (1997) | |||
| 19. | Aharonov-Bohm effect in the chiral Luttinger liquid | ||
| M. R. Geller and D. Loss | |||
| Phys. Rev. B 56, 9692 (1997) | |||
| 20. | Mesoscopic effects in the fractional quantum Hall regime | ||
| M. R. Geller and D. Loss | |||
| Physica E 1, 120 (1997) | |||
| 21. | Quantized vortices in superfluids and superconductors | ||
| D. J. Thouless, P. Ao, Q. Niu, M. R.. Geller, and C. Wexler | |||
| in Proceedings of the 9th International Conference on Many-Body Physics, Sydney (World Scientific, Singapore, 1997) | |||
1996
| 13. | Quantum breathing mode for electrons with 1/r2 interaction | ||
| M. R. Geller and G. Vignale | |||
| Phys. Rev. B 53, 6979 (1996) | |||
| 14. | Current-carrying ground states in mesoscopic and macroscopic systems | ||
| M. R. Geller | |||
| Phys. Rev. B 53, 9550 (1996) | |||
| 15. | Classical continuum theory of the dipole-forbidden collective excitations in quantum strips | ||
| W. L. Schaich, M. R. Geller, and G. Vignale | |||
| Phys. Rev. B 53, 13016 (1996) | |||
| 16. | Mesoscopic effects in the fractional quantum Hall regime: Chiral Luttinger liquid versus Fermi liquid | ||
| M. R. Geller, D. Loss, and G. Kirczenow | |||
| Phys. Rev. Lett. 77, 5110 (1996) | |||
1995
| 8. | Bound on the group velocity of an electron in a one-dimensional periodic potential | ||
| M. R. Geller and G. Vignale | |||
| Phys. Rev. B 51, 2616 (1995) | |||
| 9. | Equilibrium current and orbital magnetization in a quantum Hall fluid | ||
| M. R. Geller and G. Vignale | |||
| Physica B 212, 283 (1995) | |||
| 10. | Universal equilibrium currents in the quantum Hall fluid | ||
| M. R. Geller and G. Vignale | |||
| Phys. Rev. B 52, 14137 (1995) | |||
| 11. | Plasmons in a superlattice in a parabolic quantum well | ||
| M. Sundaram, S. J. Allen, M. R. Geller, K. L. Campman, and A. C. Gossard | |||
| Appl. Phys. Lett. 67, 3165 (1995) | |||
| 12. | Edge structure of fractional quantum Hall systems from density functional theory | ||
| M. Ferconi, M. R. Geller, and G. Vignale | |||
| Phys. Rev. B 52, 16357 (1995) | |||
1994
| 5. | Effective field theory of single and multilayered quantum Hall fluids | ||
| M. R. Geller | |||
| Int. J. Mod Phys. B 8, 1375 (1994) | |||
| 6. | Infrared absorption of holes in a parabolic quantum well | ||
| M. Sundaram, S. J. Allen, M. R. Geller, P. F. Hopkins, K. L. Campman, and A. C. Gossard | |||
| Appl. Phys. Lett. 65, 2226 (1994) | |||
| 7. | Currents in the compressible and incompressible regions of the two-dimensional electron gas | ||
| M. R. Geller and G. Vignale | |||
| Phys. Rev. B 50, 11714 (1994) | |||
1993
| 2. | Quantum mechanics of electrons in crystals with graded composition | ||
| M. R. Geller and W. Kohn | |||
| Phys. Rev. Lett. 70, 3103 (1993) | |||
| 3. | Density functional theory and statistical gauge fields | ||
| M. R. Geller | |||
| Mod. Phys. Lett. B 7, 1941 (1993) | |||
| 4. | Theory of generalized Wannier functions for nearly periodic potentials | ||
| M. R. Geller and W. Kohn | |||
| Phys. Rev. B 48, 14085 (1993) | |||
1990
| 1. | A photoelectric astrometric telescope using a Ronchi ruling | ||
| A. Buffington and M. R. Geller | |||
| Pub. Astron. Soc. Pacific 102, 200 (1990) | |||