Geller theory group

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.

news

QS14

UGA hosts Quantum Simulation Workshop (July 13)

Ghosh receives department's Cummings Award (Apr 13)

Ghosh receives department's Kirkpatrick Award (Apr 12)

Ghosh receives department's Anderson-Pioletti Award (Apr 10)

more...

people

Principal Investigator
Michael Geller Room 251 706-340-6021 mgeller@uga.edu
 
Graduate Students
Emmanuel Donate Room 228E 478-787-7945 edonate@uga.edu
Amara Katabarwa Room 228B 404-242-3310 akataba@uga.edu
 
Postdocs
Hao You Room 313C 706-542-5593 haoyou@physast.uga.edu
 
Alumni
Chun-Min Chang Brigham Young University, Provo chunmins@gmail.com
Andrei Gailautdinov University of Georgia, Athens ag@physast.uga.edu
Joydip Ghosh Institute for Quantum Science and Technology, Calgary joydip.ghosh@gmail.com
Vadim Markel University of Pennsylvania, Philadelphia vmarkel@mail.med.upenn.edu
Kelly Patton Center for Theoretical Physics, Seoul National University kpatton@physast.uga.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
Zhongyuan Zhou zyzhou@uga.edu

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

physics department main page

visitor information

seminar links

UGA Physics and Astronomy Colloquium UGA Mathematics Seminar Web UGA Chemistry Seminar Web
Emory Physics Colloquium Emory Mathematics Seminar Web Emory Chemistry Seminar Web
Georgia Tech Physics Seminar Web Georgia State Physics Colloquium

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
Fast adiabatic control of qubits using optimal windowing theory
J. M. Martinis and M. R. Geller
arXiv:1402.5467
Qubit architecture with high coherence and fast tunable coupling
Y. Chen, C. Neill, P. Roushan, N. Leung, M. Fang, R. Barends, J. Kelly, B. Campbell, Z. Chen, B. Chiaro, A. Dunsworth, E. Jeffrey, A. Megrant, J. Y. Mutus, P. J. J. O’Malley, C. M. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, M. R. Geller, A. N. Cleland, and J. M. Martinis
arXiv:1402.7367

2014

73. Fractionally charged impurity states of a fractional quantum Hall system
K. R. Patton and M. R. Geller
New. J. Phys. 16, 023004 (2014)

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)
70. Efficient error models for fault-tolerant architectures and the Pauli twirling approximation
M. R. Geller and Z. Zhou
Phys. Rev. A 88, 012314 (2013)
71. Factoring 51 and 85 with 8 qubits
M. R. Geller and Z. Zhou
Sci. Rep. 3, 3023 (2013)
72. Understanding the effects of leakage in superconducting quantum-error-detection circuits
J. Ghosh, A. G. Fowler, J. M. Martinis, and M. R. Geller
Phys. Rev. A 88, 062329 (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

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 tw-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)
 

 

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