-
1
-
-
84924581223
-
-
Cambridge University Press, Cambridge, England
-
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2000).
-
(2000)
Quantum Phase Transitions
-
-
Sachdev, S.1
-
2
-
-
33645215486
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.40.546
-
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.546 40, 546 (1989).
-
(1989)
Phys. Rev. B
, vol.40
, pp. 546
-
-
Fisher, M.P.A.1
Weichman, P.B.2
Grinstein, G.3
Fisher, D.S.4
-
3
-
-
7244221608
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108
-
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3108
-
-
Jaksch, D.1
Bruder, C.2
Cirac, J.I.3
Gardiner, C.W.4
Zoller, P.5
-
4
-
-
0037011956
-
-
NATUAS 0028-0836 10.1038/415039a
-
M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
-
(2002)
Nature (London)
, vol.415
, pp. 39
-
-
Greiner, M.1
Mandel, O.2
Esslinger, T.3
Hänsch, T.W.4
Bloch, I.5
-
5
-
-
34248187622
-
-
ADPHAH 0001-8732 10.1080/00018730701223200
-
M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, and A. Sen (De), and U. Sen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730701223200 56, 243 (2007).
-
(2007)
Adv. Phys.
, vol.56
, pp. 243
-
-
Lewenstein, M.1
Sanpera, A.2
Ahufinger, V.3
Damski, B.4
Sen, A.5
Sen, U.6
-
6
-
-
33644584452
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.78.179
-
O. Morsch and M. Oberthaler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.179 78, 179 (2006).
-
(2006)
Rev. Mod. Phys.
, vol.78
, pp. 179
-
-
Morsch, O.1
Oberthaler, M.2
-
8
-
-
19744375073
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.70.043612
-
S. R. Clark and D. Jaksch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.043612 70, 043612 (2004).
-
(2004)
Phys. Rev. A
, vol.70
, pp. 043612
-
-
Clark, S.R.1
Jaksch, D.2
-
9
-
-
3042709235
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.69.053616
-
K. Sengupta, S. Powell, and S. Sachdev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053616 69, 053616 (2004).
-
(2004)
Phys. Rev. A
, vol.69
, pp. 053616
-
-
Sengupta, K.1
Powell, S.2
Sachdev, S.3
-
10
-
-
33244475571
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.72.011601
-
L. Isella and J. Ruostekoski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.011601 72, 011601 (R) (2005).
-
(2005)
Phys. Rev. A
, vol.72
, pp. 011601
-
-
Isella, L.1
Ruostekoski, J.2
-
11
-
-
33846817473
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.75.023603
-
F. M. Cucchietti, B. Damski, J. Dziarmaga, and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023603 75, 023603 (2007).
-
(2007)
Phys. Rev. A
, vol.75
, pp. 023603
-
-
Cucchietti, F.M.1
Damski, B.2
Dziarmaga, J.3
Zurek, W.H.4
-
12
-
-
33244494406
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.245701
-
J. Dziarmaga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 245701 95, 245701 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 245701
-
-
Dziarmaga, J.1
-
13
-
-
33751088298
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.97.200601
-
R. Schützhold, M. Uhlmann, Y. Xu, and U. R. Fischer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.200601 97, 200601 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 200601
-
-
Schützhold, R.1
Uhlmann, M.2
Xu, Y.3
Fischer, U.R.4
-
14
-
-
34247866257
-
-
A recent numerical study of the quench from the superfluid to the Mott side valid at low filling can be found in PRLTAO 0031-9007 10.1103/PhysRevLett. 98.180601
-
A recent numerical study of the quench from the superfluid to the Mott side valid at low filling can be found in C. Kollath, A. M. Läuchli, and E. Altman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.180601 98, 180601 (2007).
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 180601
-
-
Kollath, C.1
Läuchli, A.M.2
Altman, E.3
-
15
-
-
0035937469
-
-
SCIEAS 0036-8075 10.1126/science.1058149
-
C. Orzel, A. K. Tuchman, M. L. Fenselau, M. Yasuda, and M. A. Kasevich, Science SCIEAS 0036-8075 10.1126/science.1058149 291, 2386 (2001).
-
(2001)
Science
, vol.291
, pp. 2386
-
-
Orzel, C.1
Tuchman, A.K.2
Fenselau, M.L.3
Yasuda, M.4
Kasevich, M.A.5
-
16
-
-
33751100152
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.74.051601
-
A. K. Tuchman, C. Orzel, A. Polkovnikov, and M. A. Kasevich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.051601 74, 051601 (R) (2006).
-
(2006)
Phys. Rev. A
, vol.74
, pp. 051601
-
-
Tuchman, A.K.1
Orzel, C.2
Polkovnikov, A.3
Kasevich, M.A.4
-
17
-
-
33846473691
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.98.040402
-
W. Li, A. K. Tuchman, H.-C. Chien, and M. A. Kasevich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.040402 98, 040402 (2007).
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 040402
-
-
Li, W.1
Tuchman, A.K.2
Chien, H.-C.3
Kasevich, M.A.4
-
18
-
-
2942733485
-
-
OPEXFF 1094-4087 10.1364/OPEX.12.000042
-
J. García-Ripoll, J. I. Cirac, P. Zoller, C. Kollath, U. Schollwöck, and J. von Delft, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.12.000042 12, 42 (2004).
-
(2004)
Opt. Express
, vol.12
, pp. 42
-
-
García-Ripoll, J.1
Cirac, J.I.2
Zoller, P.3
Kollath, C.4
Schollwöck, U.5
Von Delft, J.6
-
19
-
-
29744440623
-
-
PHYSAG 0031-8914 10.1016/0031-8914(67)90052-3
-
H. Fröhlich, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(67)90052-3 34, 47 (1967).
-
(1967)
Physica (Amsterdam)
, vol.34
, pp. 47
-
-
Fröhlich, H.1
-
21
-
-
0001139433
-
-
PHRVAO 0031-899X 10.1103/PhysRev.113.755
-
M. Girardeau and R. Arnowitt, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.113.755 113, 755 (1959)
-
(1959)
Phys. Rev.
, vol.113
, pp. 755
-
-
Girardeau, M.1
Arnowitt, R.2
-
22
-
-
0000935910
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.56.1414
-
C. W. Gardiner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.1414 56, 1414 (1997).
-
(1997)
Phys. Rev. A
, vol.56
, pp. 1414
-
-
Gardiner, C.W.1
-
23
-
-
0001053337
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.57.3008
-
Y. Castin and R. Dum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57. 3008 57, 3008 (1998).
-
(1998)
Phys. Rev. A
, vol.57
, pp. 3008
-
-
Castin, Y.1
Dum, R.2
-
24
-
-
42149167319
-
-
Another possibility is the inclusion of the interaction with a large number of neighboring sites such that the inverse number of interaction partners provides the expansion parameter, see R. Schützhold, M. Uhlmann, and U. R. Fischer, e-print arXiv:0801.3984
-
Another possibility is the inclusion of the interaction with a large number of neighboring sites such that the inverse number of interaction partners provides the expansion parameter, see R. Schützhold, M. Uhlmann, and U. R. Fischer, e-print arXiv:0801.3984.
-
-
-
-
25
-
-
42149191204
-
-
arXiv:0704.3011, Rev. Mod. Phys. (to be published).
-
I. Bloch, J. Dalibard, and W. Zwerger, e-print arXiv:0704.3011, Rev. Mod. Phys. (to be published).
-
-
-
Bloch, I.1
Dalibard, J.2
Zwerger, W.3
-
27
-
-
42149108021
-
-
We remark that a gapped amplitude mode emerges from the rotor Hamiltonian 2 near the phase transition if one uses a dynamical Gutzwiller type mean-field ansatz for the ground state on the lattice, for which the condensate will be strongly depleted. Within Bogoliubov mean-field theory, i.e., using the weakly depleted superfluid ground state, such a mode does not occur, and the excitation spectrum [given by Eq. 12 in the time-independent case] always remains gapless.
-
We remark that a gapped amplitude mode emerges from the rotor Hamiltonian 2 near the phase transition if one uses a dynamical Gutzwiller type mean-field ansatz for the ground state on the lattice, for which the condensate will be strongly depleted. Within Bogoliubov mean-field theory, i.e., using the weakly depleted superfluid ground state, such a mode does not occur, and the excitation spectrum [given by Eq. 12 in the time-independent case] always remains gapless.
-
-
-
-
28
-
-
38949215594
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.100.050404
-
S. D. Huber, B. Theiler, E. Altman, and G. Blatter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.050404 100, 050404 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 050404
-
-
Huber, S.D.1
Theiler, B.2
Altman, E.3
Blatter, G.4
-
29
-
-
0000629210
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.78.2511
-
A. Imamolu, M. Lewenstein, and L. You, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2511 78, 2511 (1997).
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 2511
-
-
Imamolu, A.1
Lewenstein, M.2
You, L.3
-
30
-
-
0037026477
-
-
NATUAS 0028-0836 10.1038/nature00968
-
M. Greiner, O. Mandel, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002).
-
(2002)
Nature (London)
, vol.419
, pp. 51
-
-
Greiner, M.1
Mandel, O.2
Hänsch, T.W.3
Bloch, I.4
-
31
-
-
33644783589
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.96.090401
-
F. Gerbier, S. Fölling, A. Widera, O. Mandel, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.090401 96, 090401 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 090401
-
-
Gerbier, F.1
Fölling, S.2
Widera, A.3
Mandel, O.4
Bloch, I.5
-
32
-
-
0004245694
-
-
edited by M. Abramowitz and I. Stegun (Dover, New York
-
Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. Stegun, (Dover, New York, 1970)
-
(1970)
Handbook of Mathematical Functions
-
-
-
33
-
-
0003864328
-
-
McGraw-Hill, New York
-
A. Erdély, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 1.
-
(1953)
Higher Transcendental Functions
, vol.1
-
-
Erdély, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
34
-
-
4744352061
-
-
EULEEJ 0295-5075 10.1209/epl/i2004-10140-7
-
D. Boers, C. Weiss, and M. Holthaus, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10140-7 67, 887 (2004).
-
(2004)
Europhys. Lett.
, vol.67
, pp. 887
-
-
Boers, D.1
Weiss, C.2
Holthaus, M.3
-
36
-
-
4143058701
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.77.5315
-
Y. Castin and R. Dum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5315 77, 5315 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 5315
-
-
Castin, Y.1
Dum, R.2
-
37
-
-
2542475276
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.69.033604
-
J. Plata, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.033604 69, 033604 (2004).
-
(2004)
Phys. Rev. A
, vol.69
, pp. 033604
-
-
Plata, J.1
-
38
-
-
33747117649
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.97.060403
-
S. Fölling, A. Widera, T. Müller, F. Gerbier, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.060403 97, 060403 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 060403
-
-
Fölling, S.1
Widera, A.2
Müller, T.3
Gerbier, F.4
Bloch, I.5
-
39
-
-
0000393997
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.60.4902
-
J. Javanainen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.4902 60, 4902 (1999).
-
(1999)
Phys. Rev. A
, vol.60
, pp. 4902
-
-
Javanainen, J.1
-
41
-
-
19544394419
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.70.023609
-
C. Menotti, M. Kraemer, A. Smerzi, L. Pitaevskiǐ, and S. Stringari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.023609 70, 023609 (2004).
-
(2004)
Phys. Rev. A
, vol.70
, pp. 023609
-
-
Menotti, C.1
Kraemer, M.2
Smerzi, A.3
Pitaevskiǐ, L.4
Stringari, S.5
-
42
-
-
23544447930
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.46.1351
-
W. G. Unruh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46. 1351 46, 1351 (1981).
-
(1981)
Phys. Rev. Lett.
, vol.46
, pp. 1351
-
-
Unruh, W.G.1
-
43
-
-
0032375453
-
-
CQGRDG 0264-9381 10.1088/0264-9381/15/6/024
-
M. Visser, Class. Quantum Grav. CQGRDG 0264-9381 10.1088/0264-9381/15/6/ 024 15, 1767 (1998).
-
(1998)
Class. Quantum Grav.
, vol.15
, pp. 1767
-
-
Visser, M.1
-
44
-
-
37649029136
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.70.063615
-
U. R. Fischer and R. Schützhold, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.063615 70, 063615 (2004).
-
(2004)
Phys. Rev. A
, vol.70
, pp. 063615
-
-
Fischer, U.R.1
Schützhold, R.2
-
45
-
-
27144476479
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.135703
-
R. Schützhold, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.135703 95, 135703 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 135703
-
-
Schützhold, R.1
|