-
1
-
-
33645215486
-
-
10.1103/PhysRevB.40.546
-
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989). 10.1103/PhysRevB.40.546
-
(1989)
Phys. Rev. B
, vol.40
, pp. 546
-
-
Fisher, M.P.A.1
Weichman, P.B.2
Grinstein, G.3
Fisher, D.S.4
-
2
-
-
0037011956
-
-
10.1038/415039a
-
M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature (London) 415, 39 (2002). 10.1038/415039a
-
(2002)
Nature (London)
, vol.415
, pp. 39
-
-
Greiner, M.1
Mandel, O.2
Esslinger, T.3
Hansch, T.W.4
Bloch, I.5
-
3
-
-
59749099227
-
-
edited by C. L. E. Arimondo and P. Berman (Academic Press, New York
-
L. Fallani, C. Fort, and M. Inguscio, in Advances in Atomic, Molecular, and Optical Physics, edited by, C. L. E. Arimondo, and, P. Berman, (Academic Press, New York, 2008).
-
(2008)
Advances in Atomic, Molecular, and Optical Physics
-
-
Fallani, L.1
Fort, C.2
Inguscio, M.3
-
4
-
-
27144502395
-
-
10.1103/PhysRevLett.95.070401
-
J. E. Lye, L. Fallani, M. Modugno, D. S. Wiersma, C. Fort, and M. Inguscio, Phys. Rev. Lett. 95, 070401 (2005); 10.1103/PhysRevLett.95.070401
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 070401
-
-
Lye, J.E.1
Fallani, L.2
Modugno, M.3
Wiersma, D.S.4
Fort, C.5
Inguscio, M.6
-
5
-
-
28844494145
-
-
10.1103/PhysRevLett.95.170411
-
T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, Phys. Rev. Lett. 95, 170411 (2005); 10.1103/PhysRevLett.95.170411
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 170411
-
-
Schulte, T.1
Drenkelforth, S.2
Kruse, J.3
Ertmer, W.4
Arlt, J.5
Sacha, K.6
Zakrzewski, J.7
Lewenstein, M.8
-
6
-
-
28844443600
-
-
10.1103/PhysRevLett.95.170409
-
D. Clement, A. F. Varon, M. Hugbart, J. A. Retter, P. Bouyer, L. Sanchez-Palencia, D. M. Gangardt, G. V. Shlyapnikov, and A. Aspect, Phys. Rev. Lett. 95, 170409 (2005). 10.1103/PhysRevLett.95.170409
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 170409
-
-
Clement, D.1
Varon, A.F.2
Hugbart, M.3
Retter, J.A.4
Bouyer, P.5
Sanchez-Palencia, L.6
Gangardt, D.M.7
Shlyapnikov, G.V.8
Aspect, A.9
-
7
-
-
34047175253
-
-
10.1103/PhysRevLett.98.130404
-
L. Fallani, J. E. Lye, V. Guarrera, C. Fort, and M. Inguscio, Phys. Rev. Lett. 98, 130404 (2007). 10.1103/PhysRevLett.98.130404
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 130404
-
-
Fallani, L.1
Lye, J.E.2
Guarrera, V.3
Fort, C.4
Inguscio, M.5
-
8
-
-
33646458343
-
-
10.1103/PhysRevLett.96.180403
-
S. Ospelkaus, C. Ospelkaus, O. Wille, M. Succo, P. Ernst, K. Sengstock, and K. Bongs, Phys. Rev. Lett. 96, 180403 (2006). 10.1103/PhysRevLett.96.180403
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 180403
-
-
Ospelkaus, S.1
Ospelkaus, C.2
Wille, O.3
Succo, M.4
Ernst, P.5
Sengstock, K.6
Bongs, K.7
-
9
-
-
0001397388
-
-
10.1103/PhysRevB.49.12115
-
M. Wallin, E. S. Sörensen, S. M. Girvin, and A. P. Young, Phys. Rev. B 49, 12115 (1994); 10.1103/PhysRevB.49.12115
-
(1994)
Phys. Rev. B
, vol.49
, pp. 12115
-
-
Wallin, M.1
Sörensen, E.S.2
Girvin, S.M.3
Young, A.P.4
-
10
-
-
0542444348
-
-
10.1103/PhysRevB.54.16131
-
B. V. Svistunov, Phys. Rev. B 54, 16131 (1996); 10.1103/PhysRevB.54.16131
-
(1996)
Phys. Rev. B
, vol.54
, pp. 16131
-
-
Svistunov, B.V.1
-
11
-
-
0034895845
-
-
10.1103/PhysRevB.64.024517
-
M. B. Hastings, Phys. Rev. B 64, 024517 (2001); 10.1103/PhysRevB.64. 024517
-
(2001)
Phys. Rev. B
, vol.64
, pp. 024517
-
-
Hastings, M.B.1
-
12
-
-
59749096315
-
-
arXiv:cond-mat/0508306.
-
R. Graham and A. Pelster, e-print arXiv:cond-mat/0508306.
-
-
-
Graham, R.1
Pelster, A.2
-
16
-
-
0000576329
-
-
10.1103/PhysRevB.55.R11981
-
J. Kisker and H. Rieger, Phys. Rev. B 55, R11981 (1997); 10.1103/PhysRevB.55.R11981
-
(1997)
Phys. Rev. B
, vol.55
, pp. 11981
-
-
Kisker, J.1
Rieger, H.2
-
18
-
-
33644552138
-
-
10.1103/PhysRevB.72.212515
-
J.-W. Lee and M.-C. Cha, Phys. Rev. B 72, 212515 (2005); 10.1103/PhysRevB.72.212515
-
(2005)
Phys. Rev. B
, vol.72
, pp. 212515
-
-
Lee, J.-W.1
Cha, M.-C.2
-
19
-
-
28844460530
-
-
10.1103/PhysRevLett.95.170401
-
H. Gimperlein, S. Wessel, J. Schmiedmayer, and L. Santos, Phys. Rev. Lett. 95, 170401 (2005). 10.1103/PhysRevLett.95.170401
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 170401
-
-
Gimperlein, H.1
Wessel, S.2
Schmiedmayer, J.3
Santos, L.4
-
20
-
-
45249086810
-
-
10.1103/PhysRevA.77.063605
-
T. Roscilde, Phys. Rev. A 77, 063605 (2008). 10.1103/PhysRevA.77.063605
-
(2008)
Phys. Rev. A
, vol.77
, pp. 063605
-
-
Roscilde, T.1
-
21
-
-
4244066733
-
-
10.1103/PhysRevLett.75.4075
-
K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Phys. Rev. Lett. 75, 4075 (1995). 10.1103/PhysRevLett.75.4075
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 4075
-
-
Sheshadri, K.1
Krishnamurthy, H.R.2
Pandit, R.3
Ramakrishnan, T.V.4
-
22
-
-
0141973601
-
-
10.1103/PhysRevLett.91.080403
-
B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. 91, 080403 (2003). 10.1103/PhysRevLett.91.080403
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 080403
-
-
Damski, B.1
Zakrzewski, J.2
Santos, L.3
Zoller, P.4
Lewenstein, M.5
-
24
-
-
34547299654
-
-
10.1103/PhysRevA.76.011602
-
P. Buonsante, V. Penna, A. Vezzani, and P. B. Blakie, Phys. Rev. A 76, 011602 (R) (2007). 10.1103/PhysRevA.76.011602
-
(2007)
Phys. Rev. A
, vol.76
, pp. 011602
-
-
Buonsante, P.1
Penna, V.2
Vezzani, A.3
Blakie, P.B.4
-
25
-
-
34247204139
-
-
10.1134/S1054660X07040378
-
P. Buonsante, F. Massel, V. Penna, and A. Vezzani, Laser Phys. 17, 538 (2007). 10.1134/S1054660X07040378
-
(2007)
Laser Phys.
, vol.17
, pp. 538
-
-
Buonsante, P.1
Massel, F.2
Penna, V.3
Vezzani, A.4
-
26
-
-
40049089709
-
-
10.1088/0953-4075/40/17/F02
-
P. Buonsante, F. Massel, V. Penna, and A. Vezzani, J. Phys. B 40, F265 (2007). 10.1088/0953-4075/40/17/F02
-
(2007)
J. Phys. B
, vol.40
, pp. 265
-
-
Buonsante, P.1
Massel, F.2
Penna, V.3
Vezzani, A.4
-
28
-
-
33744628345
-
-
10.1103/PhysRevB.49.9013
-
K. G. Singh and D. S. Rokhsar, Phys. Rev. B 49, 9013 (1994); 10.1103/PhysRevB.49.9013
-
(1994)
Phys. Rev. B
, vol.49
, pp. 9013
-
-
Singh, K.G.1
Rokhsar, D.S.2
-
29
-
-
0001005009
-
-
10.1103/PhysRevLett.76.2937
-
R. V. Pai, R. Pandit, H. R. Krishnamurthy, and S. Ramasesha, Phys. Rev. Lett. 76, 2937 (1996); 10.1103/PhysRevLett.76.2937
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 2937
-
-
Pai, R.V.1
Pandit, R.2
Krishnamurthy, H.R.3
Ramasesha, S.4
-
31
-
-
50249110996
-
-
10.1103/PhysRevA.78.023628
-
G. Roux, T. Barthel, I. P. McCulloch, C. Kollath, U. Schollwöck, and T. Giamarchi, Phys. Rev. A 78, 023628 (2008). 10.1103/PhysRevA.78.023628
-
(2008)
Phys. Rev. A
, vol.78
, pp. 023628
-
-
Roux, G.1
Barthel, T.2
McCulloch, I.P.3
Kollath, C.4
Schollwöck, U.5
Giamarchi, T.6
-
34
-
-
0036656289
-
-
10.1103/PhysRevA.66.013614
-
R. Roth, Phys. Rev. A 66, 013614 (2002); 10.1103/PhysRevA.66.013614
-
(2002)
Phys. Rev. A
, vol.66
, pp. 013614
-
-
Roth, R.1
-
37
-
-
4344654313
-
-
10.1103/PhysRevLett.93.040401
-
A. Sanpera, A. Kantian, L. Sanchez-Palencia, J. Zakrzewski, and M. Lewenstein, Phys. Rev. Lett. 93, 040401 (2004); 10.1103/PhysRevLett.93.040401
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 040401
-
-
Sanpera, A.1
Kantian, A.2
Sanchez-Palencia, L.3
Zakrzewski, J.4
Lewenstein, M.5
-
39
-
-
27144528186
-
-
10.1103/PhysRevLett.95.020401
-
U. Gavish and Y. Castin, Phys. Rev. Lett. 95, 020401 (2005). 10.1103/PhysRevLett.95.020401
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 020401
-
-
Gavish, U.1
Castin, Y.2
-
40
-
-
40049094648
-
-
10.1103/PhysRevA.77.023601
-
A. Mering and M. Fleischhauer, Phys. Rev. A 77, 023601 (2008). 10.1103/PhysRevA.77.023601
-
(2008)
Phys. Rev. A
, vol.77
, pp. 023601
-
-
Mering, A.1
Fleischhauer, M.2
-
41
-
-
0030241526
-
-
10.1016/0038-1098(96)00346-8
-
R. Allub, Solid State Commun. 99, 955 (1996). 10.1016/0038-1098(96)00346- 8
-
(1996)
Solid State Commun.
, vol.99
, pp. 955
-
-
Allub, R.1
-
42
-
-
10644258702
-
-
10.1016/j.optcom.2004.03.094
-
H. Fehrmann, M. A. Baranov, B. Damski, M. Lewenstein, and L. Santos, Opt. Commun. 243, 23 (2004). 10.1016/j.optcom.2004.03.094
-
(2004)
Opt. Commun.
, vol.243
, pp. 23
-
-
Fehrmann, H.1
Baranov, M.A.2
Damski, B.3
Lewenstein, M.4
Santos, L.5
-
43
-
-
43849112163
-
-
10.1103/PhysRevA.77.053609
-
K. V. Krutitsky, M. Thorwart, R. Egger, and R. Graham, Phys. Rev. A 77, 053609 (2008). 10.1103/PhysRevA.77.053609
-
(2008)
Phys. Rev. A
, vol.77
, pp. 053609
-
-
Krutitsky, K.V.1
Thorwart, M.2
Egger, R.3
Graham, R.4
-
44
-
-
42049113466
-
-
10.1103/PhysRevB.77.144511
-
G. Refael and E. Demler, Phys. Rev. B 77, 144511 (2008). 10.1103/PhysRevB.77.144511
-
(2008)
Phys. Rev. B
, vol.77
, pp. 144511
-
-
Refael, G.1
Demler, E.2
-
45
-
-
28844443284
-
-
10.1103/PhysRevA.72.053606
-
F. Gerbier, A. Widera, S. Fölling, O. Mandel, T. Gericke, and I. Bloch, Phys. Rev. A 72, 053606 (2005). 10.1103/PhysRevA.72.053606
-
(2005)
Phys. Rev. A
, vol.72
, pp. 053606
-
-
Gerbier, F.1
Widera, A.2
Fölling, S.3
Mandel, O.4
Gericke, T.5
Bloch, I.6
-
46
-
-
59749085475
-
-
We are interested in the phase diagram of Hamiltonian 1, which is rigorously defined in the thermodynamic limit. Hence we make the standard assumption that the system is engineered so that effects of the harmonic trapping potential typical of experiments can be safely neglected in the bulk of the lattice. In Sec. 4 we take into account the fact that the number of sites where this assumption applies is finite.
-
We are interested in the phase diagram of Hamiltonian 1, which is rigorously defined in the thermodynamic limit. Hence we make the standard assumption that the system is engineered so that effects of the harmonic trapping potential typical of experiments can be safely neglected in the bulk of the lattice. In Sec. 4 we take into account the fact that the number of sites where this assumption applies is finite.
-
-
-
-
48
-
-
2942532329
-
-
10.1103/PhysRevA.69.043609
-
C. Wu, H.-D. Chen, J.-P. Hu, and S.-C. Zhang, Phys. Rev. A 69, 043609 (2004). 10.1103/PhysRevA.69.043609
-
(2004)
Phys. Rev. A
, vol.69
, pp. 043609
-
-
Wu, C.1
Chen, H.-D.2
Hu, J.-P.3
Zhang, S.-C.4
-
51
-
-
0038514134
-
-
10.1103/PhysRevA.67.031602
-
R. Roth and K. Burnett, Phys. Rev. A 67, 031602 (R) (2003). 10.1103/PhysRevA.67.031602
-
(2003)
Phys. Rev. A
, vol.67
, pp. 031602
-
-
Roth, R.1
Burnett, K.2
-
52
-
-
0037436568
-
-
10.1088/0953-4075/36/5/304
-
A. M. Rey, K. Burnett, R. Roth, M. Edwards, C. J. Williams, and C. W. Clark, J. Phys. B 36, 825 (2003). 10.1088/0953-4075/36/5/304
-
(2003)
J. Phys. B
, vol.36
, pp. 825
-
-
Rey, A.M.1
Burnett, K.2
Roth, R.3
Edwards, M.4
Williams, C.J.5
Clark, C.W.6
-
54
-
-
77956317907
-
-
10.1209/0295-5075/22/4/004
-
K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. 22, 257 (1993). 10.1209/0295-5075/22/4/004
-
(1993)
Europhys. Lett.
, vol.22
, pp. 257
-
-
Sheshadri, K.1
Krishnamurthy, H.R.2
Pandit, R.3
Ramakrishnan, T.V.4
-
55
-
-
7244221608
-
-
10.1103/PhysRevLett.81.3108
-
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998); 10.1103/PhysRevLett.81.3108
-
(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
-
56
-
-
26944465012
-
-
10.1103/PhysRevA.71.043601
-
J. Zakrzewski, Phys. Rev. A 71, 043601 (2005); 10.1103/PhysRevA.71.043601
-
(2005)
Phys. Rev. A
, vol.71
, pp. 043601
-
-
Zakrzewski, J.1
-
57
-
-
33845514010
-
-
10.1103/PhysRevA.74.063615
-
X. Lu and Y. Yu, Phys. Rev. A 74, 063615 (2006); 10.1103/PhysRevA.74. 063615
-
(2006)
Phys. Rev. A
, vol.74
, pp. 063615
-
-
Lu, X.1
Yu, Y.2
-
58
-
-
36148945655
-
-
10.1103/PhysRevA.76.051603
-
M. Snoek and W. Hofstetter, Phys. Rev. A 76, 051603 (R) (2007). 10.1103/PhysRevA.76.051603
-
(2007)
Phys. Rev. A
, vol.76
, pp. 051603
-
-
Snoek, M.1
Hofstetter, W.2
-
59
-
-
0000885735
-
-
10.1103/PhysRevLett.80.2189
-
L. Amico and V. Penna, Phys. Rev. Lett. 80, 2189 (1998). 10.1103/PhysRevLett.80.2189
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 2189
-
-
Amico, L.1
Penna, V.2
-
60
-
-
45849155589
-
-
10.1103/PhysRevLett.89.040402
-
D. Jaksch, V. Venturi, J. I. Cirac, C. J. Williams, and P. Zoller, Phys. Rev. Lett. 89, 040402 (2002). 10.1103/PhysRevLett.89.040402
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 040402
-
-
Jaksch, D.1
Venturi, V.2
Cirac, J.I.3
Williams, C.J.4
Zoller, P.5
-
61
-
-
4244011551
-
-
10.1103/PhysRev.104.576
-
O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956). 10.1103/PhysRev.104.576
-
(1956)
Phys. Rev.
, vol.104
, pp. 576
-
-
Penrose, O.1
Onsager, L.2
-
64
-
-
0039159287
-
-
10.1103/PhysRevB.28.1449
-
M. Gouker and F. Family, Phys. Rev. B 28, 1449 (1983); 10.1103/PhysRevB.28.1449
-
(1983)
Phys. Rev. B
, vol.28
, pp. 1449
-
-
Gouker, M.1
Family, F.2
-
65
-
-
11944251587
-
-
10.1103/RevModPhys.64.961
-
M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992). 10.1103/RevModPhys.64. 961
-
(1992)
Rev. Mod. Phys.
, vol.64
, pp. 961
-
-
Isichenko, M.B.1
-
66
-
-
27144530972
-
-
We observe that a periodic 1D optical lattice with no harmonic potential could be realized as described in 10.1103/PhysRevLett.95.063201
-
We observe that a periodic 1D optical lattice with no harmonic potential could be realized as described in L. Amico, A. Osterloh, and F. Cataliotti, Phys. Rev. Lett. 95, 063201 (2005). 10.1103/PhysRevLett.95.063201
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 063201
-
-
Amico, L.1
Osterloh, A.2
Cataliotti, F.3
-
68
-
-
42449126977
-
-
10.1088/1751-8113/41/17/175301
-
P. Buonsante and V. Penna, J. Phys. A 41, 175301 (2008). 10.1088/1751-8113/41/17/175301
-
(2008)
J. Phys. A
, vol.41
, pp. 175301
-
-
Buonsante, P.1
Penna, V.2
|