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In these lecture notes, partly based on a course taught at the Karpacz Winter School in March 2014, we explore the close connections between non-adiabatic response of a system with respect to macroscopic parameters and the geometry of quantum and classical states.
M. Born and V. Fock, Zeitschrift für Physik 51
1928
Earlier work this paper cites.
P. Dirac, Proc. Roy. Soc. A 133
1931
Earlier work this paper cites.
T. Kato, J. Phys. Soc. Jpn. 5
1950
Earlier work this paper cites.
G. Kallen, Helvetica Physica Acta (Switzerland) 25
1952
Earlier work this paper cites.
H. Lehmann, Il Nuovo Cimento 11
1954
Earlier work this paper cites.
R. Karplus and J. M. Luttinger, Phys. Rev. 95
1954
Earlier work this paper cites.
P. G. Harper, Proceedings of the Physical Society. Section A 68
1955
Earlier work this paper cites.
S. Pancharatnam, Proceedings of the Indian Academy of Science A 44
1956
Earlier work this paper cites.
J. G. Valatin, Il Nuovo Cimento 7
1958
Earlier work this paper cites.
N. N. Bogoljubov, Il Nuovo Cimento 7
1958
Earlier work this paper cites.
Y. Aharonov and D. Bohm, Phys. Rev. 115
1959
Earlier work this paper cites.
P. W. Anderson, Phys. Rev. 130
1963
Earlier work this paper cites.
J. H. Shirley, Physical Review 138
1965
Earlier work this paper cites.
L. P. Kadanoff, Physics 2
1966
Earlier work this paper cites.
P. W. Anderson, Phys. Rev. Lett. 18
1967
Earlier work this paper cites.
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Macmillan, 1973)
1973
Earlier work this paper cites.
G. N. Fleming, Il Nuovo Cimento A 16
1973
Earlier work this paper cites.
A. F. Volkov and S. M. Kogan, Sov. Phys. JETP 38
1974
Earlier work this paper cites.
K. G. Wilson, Rev. Mod. Phys. 47
1975
Earlier work this paper cites.
T. Kibble, J Phys. A: Math. Gen. 9
1976
Earlier work this paper cites.
D. R. Hofstadter, Phys. Rev. B 14
1976
Earlier work this paper cites.
J. P. Provost and G. Vallee, Communications in Mathematical Physics 76
1980
Earlier work this paper cites.
C. Alden Mead, Chemical Physics 49
1980
Earlier work this paper cites.
W. K. Wootters, Phys. Rev. D 23
1981
Earlier work this paper cites.
L. Landau and E. Lifshitz, Quantum Mechanics: Course of Theoretical Physics Vol. 3 (Butterworth-Heinemann, 1981)
1981
Earlier work this paper cites.
R. B. Laughlin, Phys. Rev. B 23
1981
Earlier work this paper cites.
L. Landau and E. Lifshitz, Mechanics: Course of Theoretical Physics Vol. 1 (Butterworth-Heinemann, 1982)
1982
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
B. Simon, Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
M. V. Berry, Proc. Roy. Soc. A 392
1984
Earlier work this paper cites.
Q. Niu and D. J. Thouless, Journal of Physics A: Mathematical and General 17
1984
Earlier work this paper cites.
F. Wilczek and A. Zee, Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
W. H. Zurek, Nature 317
1985
Earlier work this paper cites.
J. E. Avron and R. Seiler, Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
A. Uhlmann, Reports on Mathematical Physics 24
1986
Earlier work this paper cites.
J. Moody, A. Shapere, and F. Wilczek, Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
B. Zygelman, Physics Letters A 125
1987
Earlier work this paper cites.
J. E. Avron, L. Sadun, J. Segert, and B. Simon, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
M. Berry, in Geometric Phases In Physics , edited by A. Shapere and F. Wilczek (World Scientific, Singapore, 1989), pp. 7–28
1989
Earlier work this paper cites.
J. E. Avron, L. Sadun, J. Segert, and B. Simon, Communications in Mathematical Physics 124
1989
Earlier work this paper cites.
J. Anandan and Y. Aharonov, Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
J. M. Deutsch, Phys. Rev. A 43
1991
Earlier work this paper cites.
J. Jensen and A. Mackintosh, Rare earth magnetism: Structures and excitations clarendon (1991)
1991
Earlier work this paper cites.
L. Vaidman, American Journal of Physics 60
1992
Earlier work this paper cites.
R. Shankar, Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
M. Srednicki, Phys. Rev. E 50
1994
Earlier work this paper cites.
S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
D. J. Thouless, Journal of Mathematical Physics 35
1994
Earlier work this paper cites.
C. Jarzynski, Phys. Rev. Lett. 74
1995
Earlier work this paper cites.
G. Ruppeiner, Rev. Mod. Phys. 67
1995
Earlier work this paper cites.
J. E. Avron, Les Houches, E. Akkermans, et. al. eds., Elsevier Science (1995)
1995
Earlier work this paper cites.
H. Kolbenstvedt, American Journal of Physics 63
1995
Cited alongside, same era.
M. Srednicki, Journal of Physics A: Mathematical and General 29
1996
Cited alongside, same era.
K. Damle and S. Sachdev, Phys. Rev. Lett. 76
1996
Cited alongside, same era.
C. Jarzynski, Phys. Rev. Lett. 78
1997
Cited alongside, same era.
D. J. Thouless, Topological quantum numbers in nonrelativistic physics (World Scientific, 1998)
1998
Cited alongside, same era.
N. Margolus and L. B. Levitin, Physica D 120
1998
Cited alongside, same era.
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, 1999)
M. Kollar, F. A. Wolf, and M. Eckstein, Phys. Rev. B 84
2011
Later among the works it cites.
T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. 106
2011
Later among the works it cites.
V. Mukherjee, A. Polkovnikov, and A. Dutta, Phys. Rev. B 83
2011
Later among the works it cites.
C. De Grandi, A. Polkovnikov, and A. W. Sandvik, Phys. Rev. B 84
2011
Later among the works it cites.
N. Read and E. H. Rezayi, Phys. Rev. B 84
2011
Later among the works it cites.
J. E. Avron, M. Fraas, G. M. Graf, and O. Kenneth, New Journal of Physics 13
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1999
Cited alongside, same era.
J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, Inc., Hoboken, 1999), 3rd ed
1999
Cited alongside, same era.
G. Sundaram and Q. Niu, Phys. Rev. B 59
1999
Cited alongside, same era.
G. D. Mahan, Many-Particle Physics (Kluwer Academic / Plenum, New York, 2000)
2000
Cited alongside, same era.
M. Bordag, U. Mohideen, and V. Mostepanenko, Phys. Rept. 353
2001
Cited alongside, same era.
M. Demirplak and S. A. Rice, J. Phys. Chem. A 107
2003
Cited alongside, same era.
2011
Later among the works it cites.
A. del Campo, M. M. Rams, and W. H. Zurek, Phys. Rev. Lett. 109
2012
Later among the works it cites.
V. Gritsev and A. Polkovnikov, Proceedings of the National Academy of Sciences 109
2012
Later among the works it cites.
P. Kumar, S. Mahapatra, P. Phukon, and T. Sarkar, Phys. Rev. E 86
2012
Later among the works it cites.
G. Rigolin and G. Ortiz, Phys. Rev. A 85
2012
Later among the works it cites.
C. Jarzynski, Phys. Rev. A 88
2013
Later among the works it cites.
A. del Campo, Phys. Rev. Lett. 111
2013
Later among the works it cites.
H. Kim and D. A. Huse, Ballistic spreading of entanglement in a diffusive nonintegrable system (2013)
2013
Later among the works it cites.
T. Neupert, C. Chamon, and C. Mudry, Phys. Rev. B 87
2013
Later among the works it cites.
M. Kolodrubetz, V. Gritsev, and A. Polkovnikov, Phys. Rev. B 88
2013
Later among the works it cites.
B. Damski, Phys. Rev. E 87
2013
Later among the works it cites.
Y.-Q. Ma, S.-J. Gu, S. Chen, H. Fan, and W.-M. Liu, EPL (Europhysics Letters) 103
2013
Later among the works it cites.
M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Phys. Rev. Lett. 111
2013
Later among the works it cites.
H. Miyake, G. A. Siviloglou, C. J. Kennedy, W. C. Burton, and W. Ketterle, Phys. Rev. Lett. 111
2013
Later among the works it cites.
S. Deffner, C. Jarzynski, and A. del Campo, Phys. Rev. X 4
2014
Later among the works it cites.
L. Banchi, P. Giorda, and P. Zanardi, Phys. Rev. E 89
2014
Later among the works it cites.
P. Kumar and T. Sarkar, Phys. Rev. E 90
2014
Later among the works it cites.
Z. Huang and D. P. Arovas, Phys. Rev. Lett. 113
2014
Later among the works it cites.
O. Viyuela, A. Rivas, and M. A. Martin-Delgado, Phys. Rev. Lett. 113
2014
Later among the works it cites.
M. D. Schroer, M. H. Kolodrubetz, W. F. Kindel, M. Sandberg, J. Gao, M. R. Vissers, D. P. Pappas, A. Polkovnikov, and K. W. Lehnert, Phys. Rev. Lett. 113
2014
Later among the works it cites.
P. Roushan, C. Neill, Y. Chen, M. Kolodrubetz, C. Quintana, N. Leung, M. Fang, R. Barends, B. Campbell, Z. Chen, et al., Nature 515
2014
Later among the works it cites.
C. Xu, A. Poudel, and M. G. Vavilov, Phys. Rev. A 89
2014
Later among the works it cites.
G. Rigolin and G. Ortiz, Phys. Rev. A 90
2014
Later among the works it cites.
L. D ′ Alessio and A. Polkovnikov, Annals of Physics 345
2014
Later among the works it cites.
M. Kolodrubetz, Phys. Rev. B 89
2014
Later among the works it cites.
M. Ammon and J. Erdmenger, Gauge/Gravity Duality: Foundations and Applications (Cambridge University Press, 2015)
2015
Later among the works it cites.
T. V. Acconcia, M. V. S. Bonança, and S. Deffner, Phys. Rev. E 92
2015
Later among the works it cites.
T. Karzig, F. Pientka, G. Refael, and F. von Oppen, Phys. Rev. B 91
2015
Later among the works it cites.
B. Damski, in Quantum Criticality in Condensed Matter (WORLD SCIENTIFIC, 2015), p. 159
2015
Later among the works it cites.
L. Yang, Y.-Q. Ma, and X.-G. Li, Physica B: Condensed Matter 456
2015
Later among the works it cites.
R. Maity, S. Mahapatra, and T. Sarkar, Phys. Rev. E 92
2015
Later among the works it cites.
M. Aidelsburger, M. Lohse, C. Schweizer, M. Atala, J. T. Barreiro, S. Nascimbene, N. R. Cooper, I. Bloch, and N. Goldman, Nat Phys 11
2015
Later among the works it cites.
C. J. Kennedy, W. C. Burton, W. C. Chung, and W. Ketterle, Nat Phys 11
2015
Later among the works it cites.
K. Wilhelm and B. N. Dwivedi, New Astronomy 34
2015
Later among the works it cites.
L. Wang, Y.-H. Liu, J. Imriška, P. N. Ma, and M. Troyer, Phys. Rev. X 5
2015
Later among the works it cites.
M. Bukov, L. D’Alessio, and A. Polkovnikov, Adv. in Phys. 64
2015
Later among the works it cites.
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, Advances in Physics 65
2016
Closest in time.
P. Hauke, M. Heyl, L. Tagliacozzo, and P. Zoller, Nat. Phys. 12
2016
Closest in time.
Z. Luo, C. Lei, J. Li, X. Nie, Z. Li, X. Peng, and J. Du, Phys. Rev. A 93
2016
Closest in time.
V. V. Albert, B. Bradlyn, M. Fraas, and L. Jiang, Phys. Rev. X 6
2016
Closest in time.
M. Kolodrubetz, Phys. Rev. Lett. 117
2016
Closest in time.
D. Sels and A. Polkovnikov, Proc. Natl. Acad. Sci. 114
2017
Closest in time.
M. Okuyama and K. Takahashi, J. Phys. Soc. Jpn. 86
2017
Closest in time.
S. Campbell and S. Deffner, Phys. Rev. Lett. 118
2017
Closest in time.
K. Funo, J.-N. Zhang, C. Chatou, K. Kim, M. Ueda, and A. del Campo, Phys. Rev. Lett. 118
2017
Closest in time.