Lecture "Theory of Ultracold Quantum Gases"
of Priv.-Doz. Dr. Axel Pelster
in Winter Term 2014/2015:
General Information:
Lectures on Wednesdays in Seminar Room 46-576 from 13.45 until 15.15 starting on 29.10.14
Literature:
- History of Bose-Einstein distribution:
- M. Delbrück,
Was Bose-Einstein statistics arrived at by
serenipity?,
J. Chem. Educ. 57, 467 (1980)
- Chapter 2 in V.V. Kocharovsky, V.V. Kocharovsky, M. Holthaus,
C.H.R. Ooi, A. Svidzinsky, W. Ketterle, and M.O. Scully,
Fluctuations in Ideal and Interacting
Bose-Einstein Condensates: From the Laser Phase Transition Analogy to Squeezed States and Bogoliubov
Quasiparticles,
in G. Rempe and M.O. Scully (Eds.),
Advances in Atomic, Molecular, and Optical Physics, Vol. 53,
Academic Press, 2006, p. 293
- Introduction in Bose-Einstein Condensation, Cooling Techniques:
- Ideal Bose-Gas, Grand-Canonical Ensemble:
- Ideal Bose-Gas, Canonical Ensemble:
- M. Holthaus, E. Kalinowski, and K. Kirsten,
Condensate fluctuations in trapped Bose gases:
Canonical vs. microcanonical ensemble,
Ann. Phys. (N.Y.) 270, 198 (1998)
- M. Holthaus and E. Kalinowski,
Universal renormalization of saddle-point integrals for condensed Bose gases,
Phys. Rev. E 60, 6534 (1999)
- K. Glaum, H. Kleinert, and A. Pelster,
Condensation of Ideal Bose Gas Confined in a Box within a Canonical Ensemble,
Phys. Rev. A 76, 063604 (2007)
- Chapter 7 in H. Kleinert,
Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets,
Fifth Edition, World Scientific (2009)
- Scattering Theory:
- Gross-Pitaevskii Equation, Thomas-Fermi Approximation:
- Eigenfrequencies of a Condensate:
- V.M. Perez-Garcia, H. Michinel, J.I. Cirac, M. Lewenstein, and P. Zoller,
Low Energy Excitations of a Bose-Einstein Condensate: A Time-Dependent Variational Analysis,
Phys. Rev. Lett. 77, 5320 (1996))
- V.M. Perez-Garcia, H. Michinel, J.I. Cirac, M. Lewenstein, and P. Zoller,
Dynamics of Bose-Einstein condensates:
Variational solutions of the Gross-Pitaevskii equations,
Phys. Rev. A 56, 1424 (1997)
- M. Herold,
Sum-Rule Approach for Collective Excitations of Ultracold Quantum Gases,
Bachelor Thesis, Freie Universität Berlin (2012)
- Hartree-Fock Theory:
- Shift of Cricital Temperature:
- S. Giorgini, L. P. Pitaevskii, and S. Stringari,
Condensate fraction and
critical temperature of a trapped interacting Bose gas,
Phys. Rev. A 54, R4633 (1996)
- F. Gerbier, J. H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, and A. Aspect,
Critical Temperature of a Trapped, Weakly Interacting Bose Gas,
Phys. Rev. Lett. 92, 030405 (2004)
- Bogoliubov Theory:
- Vortices:
- Superfluidity and Landau-Khalatnikov Two-Fluid Model:
- Spinor Bose Gases:
- Disorder:
- Introduction to Fermi Gases:
- BEC-BCS-Crossover:
- Bosons in Optical Lattices:
- Periodically Driven Optical Lattices:
- A. Eckardt, C. Weiss, and M. Holthaus,
Superfluid-insulator transition in a periodically
driven optical lattice,
Phys. Rev. Lett. 95, 260404 (2005)
- A. Eckardt, M. Holthaus, H. Lignier, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo,
Exploring dynamic localization with a Bose-Einstein
condensate,
Phys. Rev. A 79, 013611 (2009)
- A. Zenesini, H. Lignier, D. Ciampini, O. Morsch, and E. Arimondo,
Coherent control of dressed matter waves,
Phys. Rev. Lett. 102, 100403 (2009)
- J. Struck, C. Ölschläger, R. Le Targat, P. Soltan-Panahi, A. Eckardt, M. Lewenstein, P. Windpassinger, and K. Sengstock,
Quantum simulation of frustrated classical magnetism in triangular optical lattices,
Science 333, 996 (2011)