Research

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Nonequilibrium Keldysh

Schematic of the Keldysh contour used in our formalism. Time runs from some minium out to a maximum (in principle +/- infinity) and and back again, then down the imaginary time spur to account for finite temperature effects on the system in equilibrium. The red and blue curves represent the application of a transient pump pulse at some time after tmin and a subsequent probe pulse, like that used in time-resolved optical spectroscopy or photoemission.

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References and Further Reading

1. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
2. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323-359 (1986).
3. J. K. Freericks, V. M. Turkowski, and V. Zlatic, Phys. Rev. Lett. 97, 266408 (2006).
4. J. K. Freericks, Phys. Rev. B 77, 075109 (2008).
5. J. K. Freericks, H. R. Krishnamurthy, and Th. Pruschke, Phys. Rev. Lett. 102, 136401 (2009).
6. A. P. Jauho and J. W. Wilkins, Phys. Rev. B 29, 1919-1938 (1984).
7. B. Moritz, T. P. Devereaux, and J. K. Freericks, Phys. Rev. B 81, 165112 (2010).

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Quantum Monte Carlo

Spectral functions for a 14 percent hole- and 16 percent electron-doped single-band Hubbard model calculated using determinant quantum Monte Carlo and maximum entropy analytic continuation.

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References and Further Reading

1. R. Blankenbecler, D. J. Scalapino and R. L. Sugar, Phys. Rev. D, 24, 2278-2286 (1981).
2. S. R. White et al, Phys. Rev. B 40, 506-516 (1989).
3. B. Moritz et al, New J. Phys. 11, 093020 (2009).

Richard Scalettar's How To Guide
Richard Scalettar's Homepage
Useful notes from Richard Scalettar's Michigan Quantum Summer School 2010

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Exact Diagonalization

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References and Further Reading

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Dynamical Mean-Field Theory

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References and Further Reading

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Density Functional Theory

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References and Further Reading

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