## Recent Progress in Many-body Theories: Proceedings of the 12th International ConferenceQuantum many-body theory has greatly expanded its scope and depth over the past few years, treating more deeply long-standing issues like phase transitions and strongly-correlated systems, and simultaneously expanding into new areas such as cold atom physics and quantum information. This collection of contributions highlights recent advances in all these areas by leaders in their respective fields. Also included are some historic perspectives by L P Gor'kov and S T Belyaev, Feenberg Medal Recipients at this conference, and Nobel Laureate P W Anderson gives his unique outlook on the future of physics. The volume covers the key topics in many-body theory, tied together through advances in theoretical tools and computational techniques, and a unifying theme of fundamental approaches to quantum many-body physics. |

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### Contents

III | 3 |

IV | 8 |

V | 13 |

VI | 25 |

VII | 27 |

VIII | 31 |

IX | 33 |

X | 41 |

XXI | 127 |

XXII | 129 |

XXIII | 146 |

XXIV | 156 |

XXV | 166 |

XXVI | 181 |

XXVII | 183 |

XXVIII | 199 |

XI | 50 |

XII | 62 |

XIII | 74 |

XIV | 85 |

XV | 89 |

XVI | 95 |

XVII | 97 |

XVIII | 107 |

XIX | 117 |

XX | 122 |

XXIX | 204 |

XXX | 214 |

XXXI | 223 |

XXXII | 229 |

XXXIII | 231 |

XXXIV | 241 |

XXXV | 251 |

XXXVI | 260 |

### Common terms and phrases

algorithm amplitude applied approach approximation Bose bosons calculations chiral classical clusters computed condensed matter configuration correlations corresponding critical point defined density matrix depends described discussed disorder distribution DMRG dynamics effects electron energy entanglement equation example excitations experimental fermions ferromagnetic finite Green's function ground ground-state Hamiltonian Hubbard model impurity interaction Ising model Landau lattice QCD Lett limit liquid magnetic field many-body theory matrix elements mean field method momentum multicritical point Neel neutrino neutron stars Nucl nuclear nuclei observed obtained operator optical lattices order parameter oscillations pairing particles perturbation phase diagram Phys physics potential problem properties quantum fluctuations quantum Hall quantum phase transitions quark matter random Received 1 December recent regime renormalization group rotation S.T. Belyaev scattering length simulations spin glass strong coupling structure superconducting superfluid symmetry temperature theoretical variables vector weakly bound molecules Zelevinsky zero

### Popular passages

Page 240 - KB Cooper, MP Lilly, JP Eisenstein, T. Jungwirth, LN Pfeiffer, and KW West, Solid State Commun. 119, 89 (2001).

Page 240 - MP Lilly, KB Cooper, J. P Eisenstein, LN Pfeiffer, and KW West, Phys. Rev. Lett. 82, 394 (1999); RR Du, DC Tsui, HL Stormer, LN Pfeiffer, KW Baldwin, and KW West, Solid State Commun. 109, 389 (1999).