Hubbard Model for Asymmetric Ultracold Fermionic ... - KOMET 337

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In the case of spin-dependent hopping we have presented arguments for the neglegt ofCDW phases. In order to complete this argument, a proof that this phase is thermodynamicallyunstable away from half filling could be added.In the future, multiband Hubbard models and dissipative multiband Hubbard modelscould become realizable in ultracold quantum gases, and therefore methods like DMFT+QMC+ 1 ω[27] could be used to analyze these systems.58
Bibliography[1] C. Wieman and E. Cornell, Science 269, 198 (1995).[2] C. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge UniversityPress, Cambridge, 2002).[3] D.S. Jin et al., Phys. Rev. Lett. 92, 040403 (2004).[4] P. Zoller et al., Phys. Rev. Lett. 81, 3108 (1998).[5] M. Greiner, Ph.D. thesis, LMU München, 2003.[6] I. Bloch et al., Phys. Rev. A 72, 053606 (2005).[7] D. van Oosten, Ph.D. thesis, Universiteit Utrecht, Utrecht, 2004.[8] I. Bloch et al., Phys. Rev. Lett. 97, 060403 (2006).[9] I. Bloch et al., Nature 1, 23 (2005).[10] W. Hofstetter et al., Phys. Rev. Lett. 89, 220407 (2002).[11] C. de Melo et al., Phys. Rev. B 72, 224513 (2005).[12] T. Ho et al., Phys. Rev. Lett. 96, 010402 (2006).[13] T. Esslinger et al., Phys. Rev. Lett. 94, 080403 (2005).[14] H. Stoof et al., Phys. Rev. A 71, 043604 (2005).[15] I. Bloch al., Phys. Rev. Lett. 91, 010407 (2003).[16] G. Patridge et al., Science 311, 503 (2006).[17] M. Zwierlein et al., Science 311, 492 (2006).[18] H. Stoof et al., Phys. Rev. Lett. 97, 190407 (2006).[19] H. Stoof et al., Phys. Rev. Lett. 97, 210402 (2006).[20] T. Giamarchi al., Phys. Rev. Lett. 95, 226402 (2005).[21] F. Freimuth, Diploma thesis, Johannes Gutenberg-Universität, Mainz, 2005.[22] M. Abramowitz and I. Stegun, Pocketbook of Mathematical Functions (Harri Deutsch,Frankfurt a.M., 1984).[23] F. Schwabl, Quantenmechanik (Springer Verlag, Berlin, 1990).59
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Hubbard Model for AsymmetricUltraco
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coupling regime. The trapping poten
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4.5 Critical temperatures . . . . .
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2 CHAPTER 1. INTRODUCTIONlattice si
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4 CHAPTER 1. INTRODUCTION1.2 Unbala
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6 CHAPTER 1. INTRODUCTION
Page 14: 8 CHAPTER 2. FORMALISM AT WEAK COUP
Page 17 and 18: 2.3. SELF-CONSISTENCY EQUATIONS 11w
Page 19 and 20: 2.3. SELF-CONSISTENCY EQUATIONS 13w
Page 21 and 22: 2.4. PROPERTIES OF THE SELF-CONSIST
Page 25 and 26: Chapter 3Unbalanced Fermi-mixturesI
Page 33 and 34: 3.3. NUMERICAL METHOD 27- In Figure
Page 35 and 36: 3.3. NUMERICAL METHOD 29Input of
Page 37 and 38: 3.4. NUMERICAL RESULTS 31x-position
Page 39 and 40: 3.4. NUMERICAL RESULTS 33x-position
Page 41 and 42: Chapter 4Model with spin-dependent
Page 43 and 44: 4.2. SUPERFLUIDITY AWAY FROM HALF F
Page 45 and 46: 4.3. NUMERICAL METHOD FOR THE PROBL
Page 47 and 48: 4.4. NUMERICAL RESULTS FOR THE GROU
Page 49 and 50: 4.5. CRITICAL TEMPERATURES 430.4∆
Page 51 and 52: 4.5. CRITICAL TEMPERATURES 454.5.2
Page 53 and 54: Chapter 5Strong coupling limitIn th
Page 55 and 56: 5.2. GENERAL PROCEDURE 49with an an
Page 57 and 58: = ∑ ijlσ= − ∑ ijlσ= ∑ ijl
Page 59 and 60: 5.4. LOW TEMPERATURE LIMIT 53At fir
Page 61 and 62: 5.4. LOW TEMPERATURE LIMIT 555.4.2
Page 63: Summary and OutlookIn this thesis w
Page 67 and 68: DanksagungAn erster Stelle möchte
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