Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2013, Issue 9, 2013, Pages

  Collura, Mario ^a   Sotiriadis, Spyros ^a   Calabrese, Pasquale ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

correlation functions; integrable quantum field theory; quantum gases; quantum quenches

Indexed keywords

EID: 84885132858     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2013/09/P09025     Document Type: Article

References (192)

1. Greiner M, Mandel O, Hänsch T W and Bloch I 2002 Nature 419 51 (Pubitemid 34987866)
2. Kinoshita T, Wenger T and Weiss D S 2006 Nature 440 900
3. Hofferberth S, Lesanovsky I, Fischer B, Schumm T and Schmiedmayer J 2007 Nature 449 324 (Pubitemid 47449551)
4. Haller E, Gustavsson M, Mark M J, Danzl J G, Hart R, Pupillo G and Naegerl H-C 2009 Science 325 1224
5. Trotzky S, Chen Y-A, Flesch A, McCulloch I P, Schollwöck U, Eisert J and Bloch I 2012 Nature Phys. 8 325
6. Cheneau M, Barmettler P, Poletti D, Endres M, Schauss P, Fukuhara T, Gross C, Bloch I, Kollath C and Kuhr S 2012 Nature 481 484
7. Gring M, Kuhnert M, Langen T, Kitagawa T, Rauer B, Schreitl M, Mazets I, Smith D A, Demler E and Schmiedmayer J 2012 Science 337 1318
8. Schneider U, Hackermüller L, Ronzheimer J P, Will S, Braun S, Best T, Bloch I, Demler E, Mandt S, Rasch D and Rosch A 2012 Nature Phys. 8 213
9. Ronzheimer J P, Schreiber M, Braun S, Hodgman S S, Langer S, McCulloch I P, Heidrich-Meisner F, Bloch I and Schneider U 2013 Phys. Rev. Lett. 110 205301
10. Meinert F, Mark M J, Kirilov E, Lauber K, Weinmann P, Daley A J and Nägerl H-C 2013 Phys. Rev. Lett. 111 053003
11. Fukuhara T, Schauss P, Endres M, Hild S, Cheneau M, Bloch I and Gross C 2013 arXiv:1305.6598
12. Polkovnikov A, Sengupta K, Silva A and Vengalattore M 2011 Rev. Mod. Phys. 83 863
13. Calabrese P and Cardy J 2006 Phys. Rev. Lett. 96 136801
14. Calabrese P and Cardy J 2007 J. Stat. Mech. P06008
15. Cazalilla M A 2006 Phys. Rev. Lett. 97 156403 (Pubitemid 44570421)
16. Igloi F and Rieger H 2000 Phys. Rev. Lett. 85 3233
17. Sengupta K, Powell S and Sachdev S 2004 Phys. Rev. A 69 053616
18. De Chiara G, Montangero S, Calabrese P and Fazio R 2006 J. Stat. Mech. L03001 (Pubitemid 43534995)
19. Laeuchli A and Kollath C 2008 J. Stat. Mech. P05018
20. Iucci A and Cazalilla M A 2009 Phys. Rev. A 80 063619
21. Iucci A and Cazalilla M A 2010 New J. Phys. 12 055019
22. Faribault A, Calabrese P and Caux J-S 2009 J. Stat. Mech. P03018
23. Faribault A, Calabrese P and Caux J-S 2009 J. Math. Phys. 50 095212
24. Igloi F and Rieger H 2011 Phys. Rev. Lett. 106 035701
25. Sotiriadis S and Cardy J 2010 Phys. Rev. B 81 134305
26. Barmettler P, Poletti D, Cheneau M and Kollath C 2012 Phys. Rev. A 85 053625
27. Calabrese P, Essler F H L and Fagotti M 2011 Phys. Rev. Lett. 106 227203
28. Calabrese P, Essler F H L and Fagotti M 2012 J. Stat. Mech. P07016
29. Foini L, Cugliandolo L F and Gambassi A 2011 Phys. Rev. B 84 212404
30. Foini L, Cugliandolo L F and Gambassi A 2012 J. Stat. Mech. P09011
31. Rieger H and Iglói F 2011 Phys. Rev. B 84 165117
32. Blass B, Rieger H and Iglói F 2012 Europhys. Lett. 99 30004
33. Evangelisti S 2013 J. Stat. Mech. P04003
34. Karrasch C, Rentrop J, Schuricht D and Meden V 2012 Phys. Rev. Lett. 109 126406
35. Rentrop J, Schuricht D and Meden V 2012 New J. Phys. 14 075001
36. Schuricht D and Essler F H L 2012 J. Stat. Mech. P04017
37. Rigol M, Dunjko V, Yurovsky V and Olshanii M 2007 Phys. Rev. Lett. 98 50405 (Pubitemid 46203541)
38. Rigol M, Dunjko V and Olshanii M 2008 Nature 452 854 (Pubitemid 351550863)
39. Manmana S R, Wessel S, Noack R M and Muramatsu A 2007 Phys. Rev. Lett. 98 210405 (Pubitemid 47139673)
40. Eckstein M and Kollar M 2007 Phys. Rev. Lett. 100 120404
41. Kollar M and Eckstein M 2008 Phys. Rev. A 78 013626
42. Kollar M, Wolf F A and Eckstein M 2011 Phys. Rev. B 84 054304
43. Cramer M, Dawson C M, Eisert J and Osborne T J 2008 Phys. Rev. Lett. 100 030602 (Pubitemid 351161771)
44. Cramer M and Eisert J 2010 New J. Phys. 12 055020
45. Barthel T and Schollwöck U 2008 Phys. Rev. Lett. 100 100601 (Pubitemid 351399128)
46. Sotiriadis S, Calabrese P and Cardy J 2009 Europhys. Lett. 87 20002
47. Rigol M 2009 Phys. Rev. Lett. 103 100403
48. Rigol M 2009 Phys. Rev. A 80 053607
49. Rossini D, Silva A, Mussardo G and Santoro G E 2009 Phys. Rev. Lett. 102 127204
50. Rossini D, Suzuki S, Mussardo G, Santoro G E and Silva A 2010 Phys. Rev. B 82 144302
51. Calabrese P, Essler F H L and Fagotti M 2012 J. Stat. Mech. P07022
52. Fagotti M 2013 Phys. Rev. B 87 165106
53. Essler F H L, Evangelisti S and Fagotti M 2012 Phys. Rev. Lett. 109 247206
54. Caneva T, Canovi E, Rossini D, Santoro G E and Silva A 2011 J. Stat. Mech. P07015
55. Rigol M and Srednicki M 2012 Phys. Rev. Lett. 108 110601
56. Roux G 2009 Phys. Rev. A 79 021608
57. Biroli G, Kollath C and Laeuchli A 2010 Phys. Rev. Lett. 105 250401
58. Brandino G P, De Luca A, Konik R M and Mussardo G 2012 Phys. Rev. B 85 214435
59. Fioretto D and Mussardo G 2010 New J. Phys. 12 055015
60. Canovi E, Rossini D, Fazio R, Santoro G E and Silva A 2011 Phys. Rev. B 83 094431
61. Cazalilla M A, Iucci A and Chung M-C 2012 Phys. Rev. E 85 011133
62. Sotiriadis S, Fioretto D and Mussardo G 2012 J. Stat. Mech. P02017
63. Mossel J and Caux J-S 2012 J. Phys. A: Math. Theor. 45 255001
64. Demler E and Tsvelik A M 2012 Phys. Rev. B 86 115448
65. Marino J and Silva A 2012 Phys. Rev. B 86 060408
66. Olshanii M 2012 arXiv:1208.0582
67. Sedlmayr N, Ren J, Gebhard F and Sirker J 2013 Phys. Rev. Lett. 110 100406
68. Sirker J, Konstantinidis N P and Sedlmayr N 2013 arXiv:1303.3064
69. Caux J-S and Essler F H L 2013 Phys. Rev. Lett. 110 257203
70. Fagotti M and Essler F H L 2013 Phys. Rev. B 87 245107
71. Mussardo G 2013 arXiv:1304.7599
72. Pozsgay B 2013 J. Stat. Mech. P07003
73. Fagotti M and Essler F H L 2013 J. Stat. Mech. P07012
74. Kollath C, Laeuchli A and Altman E 2007 Phys. Rev. Lett. 98 180601 (Pubitemid 46693406)
75. Cassidy A C, Clark C W and Rigol M 2011 Phys. Rev. Lett. 106 140405
76. Rigol M and Fitzpatrick M 2011 Phys. Rev. A 84 033640
77. He K and Rigol M 2012 Phys. Rev. A 85 063609
78. Gramsch C and Rigol M 2012 Phys. Rev. A 86 053615
79. Banuls M C, Cirac J I and Hastings M B 2011 Phys. Rev. Lett. 106 050405
80. Gogolin C, Mueller M P and Eisert J 2011 Phys. Rev. Lett. 106 040401
81. Grisins P and Mazets I E 2011 Phys. Rev. A 84 053635
82. Gangardt D M and Pustilnik M 2008 Phys. Rev. A 77 041604 (Pubitemid 351533135)
83. Gurarie V 2013 J. Stat. Mech. P02014
84. Chandran A, Nanduri A, Gubser S S and Sondhi S L 2013 Phys. Rev. B 88 024306
85. Santos L F, Polkovnikov A and Rigol M 2011 Phys. Rev. Lett. 107 040601
86. Calabrese P, Hagendorf C and Le Doussal P 2008 J. Stat. Mech. P07013
87. Sotiriadis S and Cardy J 2008 J. Stat. Mech. P11003
88. Eisler V, Igloi F and Peschel I 2009 J. Stat. Mech. P02011
89. Antal T, Racz Z, Rakos A and Schutz G M 1999 Phys. Rev. E 59 4912
90. Ogata Y 2002 Phys. Rev. E 66 066123 (Pubitemid 40606062)
91. Antal T, Krapivsky P L and Rakos A 2008 Phys. Rev. E 78 061115
92. Karevski D 2001 Eur. Phys. J. B 27 147
93. Platini T and Karevski D 2005 Eur. Phys. J. B 48 225 (Pubitemid 41813611)
94. Platini T and Karevski D 2007 J. Phys. A: Math. Theor. 40 1711
95. Lancaster J and Mitra A 2010 Phys. Rev. E 81 061134
96. Langer S, Heyl M, McCulloch I P and Heidrich-Meisner F 2011 Phys. Rev. B 84 205115
97. Collura M, Aufderheide H, Roux G and Karevski D 2012 Phys. Rev. A 86 013615
98. Eisler V and Racz Z 2013 Phys. Rev. Lett. 110 060602
99. Mossel J, Palacios G and Caux J-S 2010 J. Stat. Mech. L09001
100. Peotta S and Di Ventra M 2013 arXiv:1303.6916
101. Minguzzi A and Gangardt D M 2005 Phys. Rev. Lett. 94 240404 (Pubitemid 41636454)
102. del Campo A and Muga J G 2006 Europhys. Lett. 74 965 (Pubitemid 43966572)
103. Collura M and Karevski D 2010 Phys. Rev. Lett. 104 200601
104. Buljan H, Pezer R and Gasenzer T 2008 Phys. Rev. Lett. 100 080406 (Pubitemid 351403348)
105. Jukic D, Klajn B, Gasenzer T and Buljan H 2008 Phys. Rev. A 78 053602
106. Jukic D, Klajn B and Buljan H 2009 Phys. Rev. A 79 033612
107. del Campo A 2008 Phys. Rev. A 78 045602
108. Iyer D and Andrei N 2012 Phys. Rev. Lett. 109 115304
109. Iyer D, Guan H and Andrei N 2013 Phys. Rev. A 87 053628
110. Campostrini M and Vicari E 2010 Phys. Rev. A 82 063636
111. Vicari E 2012 Phys. Rev. A 85 062324
112. Heidrich-Meisner F, Rigol M, Muramatsu A, Feiguin A E and Dagotto E 2008 Phys. Rev. A 78 013620
113. Langer S, Heidrich-Meisner F, Gemmer J, McCulloch I P and Schollwöck U 2009 Phys. Rev. B 79 214409
114. Bolech C J, Heidrich-Meisner F, Langer S, McCulloch I P, Orso G and Rigol M 2012 Phys. Rev. Lett. 109 110602
115. Vidmar L, Langer S, McCulloch I P, Schneider U, Schollwöck U and Heidrich-Meisner F 2013 arXiv:1305.5496
116. Lu H, Baksmaty L O, Bolech C J and Pu H 2012 Phys. Rev. Lett. 108 225302
117. Roux G 2010 Phys. Rev. A 81 053604
118. del Campo A 2011 Phys. Rev. A 84 031606
119. del Campo A and Boshier M G 2012 Sci. Rep. 2 648
120. Caux J-S and Konik R M 2012 Phys. Rev. Lett. 109 175301
121. Collura M, Sotiriadis S and Calabrese P 2013 Phys. Rev. Lett. 110 245301
122. Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
123. Lieb E H 1963 Phys. Rev. 130 1616
124. Brandino G, Caux J-S and Konik R M 2013 arXiv:1301.0308
125. Tonks L 1936 Phys. Rev. 50 955
126. Girardeau M 1960 J. Math. Phys. 1 516
127. Kaminishi E, Sato J and Deguchi T 2013 arXiv:1305.3412
128. McGuire J B 1964 J. Math. Phys. 5 622
129. Calabrese P and Caux J-S 2007 Phys. Rev. Lett. 98 150403 (Pubitemid 46574385)
130. Calabrese P and Caux J-S 2007 J. Stat. Mech. P08032
131. Kormos M, Shashi A, Chou Y-Z, Caux J-S and Imambekov A 2013 arXiv:1305.7202
132. Gritsev V, Rostunov T and Demler E 2010 J. Stat. Mech. P05012
133. Calabrese P, Mintchev M and Vicari E 2011 Phys. Rev. Lett. 107 020601
134. Calabrese P, Mintchev M and Vicari E 2011 J. Stat. Mech. P09028
135. Peschel I 2003 J. Phys. A: Math. Gen. 36 L205
136. Peschel I 2004 J. Stat. Mech. P06004
137. Peschel I and Eisler V 2009 J. Phys. A: Math. Gen. 42 504003
138. Peschel I 2012 Braz. J. Phys. 42 267
139. Davies B 1990 Physica A 167 433
140. Davies B and Korepin V E 2011 arXiv:1109.6604
141. Jerri A 1999 Introduction to Integral Equations with Applications (New York: Wiley)
142. Feinberg J 2004 J. Phys. A: Math. Gen. 37 6299 (Pubitemid 38846251)
143. Pezer R and Buljan H 2007 Phys. Rev. Lett. 98 240403 (Pubitemid 47139860)
144. Kormos M, Shashi A, Chou Y-Z and Imambekov A 2012 arXiv:1204.3889
145. Imambekov A, Mazets I E, Petrov D S, Gritsev V, Manz S, Hofferberth S, Schumm T, Demler E and Schmiedmayer J 2009 Phys. Rev. A 80 033604
146. Minguzzi A, Vignolo P and Tosi M P 2002 Phys. Lett. A 294 222
147. Olshanii M and Dunjko V 2003 Phys. Rev. Lett. 91 090401
148. Barth M and Zwerger W 2011 Ann. Phys. 326 2544
149. Vignolo P and Minguzzi A 2013 Phys. Rev. Lett. 110 020403
150. Schuch N, Wolf M M, Verstraete F and Cirac J I 2008 Phys. Rev. Lett. 100 030504 (Pubitemid 351161830)
151. Perez-Garcia D, Verstraete F, Wolf M M and Cirac J I 2007 Quantum Inf. Comput. 7 401
152. Cirac J I and Verstraete F 2009 J. Phys. A: Math. Theor. 42 504004
153. Schollwök U 2011 Ann. Phys. 326 96
154. Hauke P, Cucchietti F M, Tagliacozzo L, Deutsch I and Lewenstein M 2012 Rep. Prog. Phys. 75 082401
155. Calabrese P and Cardy J 2005 J. Stat. Mech. P04010 (Pubitemid 40669590)
156. Calabrese P and Cardy J 2007 J. Stat. Mech. P10004
157. Stéphan J-M and Dubail J 2011 J. Stat. Mech. P08019
158. Fagotti M and Calabrese P 2008 Phys. Rev. A 78 010306
159. Eisler V and Peschel I 2007 J. Stat. Mech. P06005
160. Eisler V, Karevski D, Platini T and Peschel I 2008 J. Stat. Mech. P01023
161. Eisler V and Peschel I 2008 Ann. Phys. (Berlin) 17 410
162. Igloi F, Szatmari Z and Lin Y-C 2009 Phys. Rev. B 80 024405
163. Igloi F, Szatmari Z and Lin Y-C 2012 Phys. Rev. B 85 094417
164. Bardarson J H, Pollmann F and Moore J E 2012 Phys. Rev. Lett. 109 017202
165. Vosk R and Altman E 2012 arXiv:1205.0026
166. Collura M and Calabrese P 2013 J. Phys. A: Math. Theor. 46 175001
167. Hauke P and Tagliacozzo L 2013 arXiv:1304.7725
168. Schachenmayer J, Lanyon B P, Roos C F and Daley A J 2013 arXiv:1305.6880
169. Hsu B, Grosfeld E and Fradkin E 2009 Phys. Rev. B 80 235412
170. Cardy J 2011 Phys. Rev. Lett. 106 150404
171. Abanin D A and Demler E 2012 Phys. Rev. Lett. 109 020504
172. Amico L, Fazio R, Osterloh A and Vedral V 2008 Rev. Mod. Phys. 80 517 (Pubitemid 351697445)
173. Eisert J, Cramer M and Plenio M B 2010 Rev. Mod. Phys. 82 277
174. Calabrese P, Cardy J and Doyon B (eds) 2009 J. Phys. A: Math. Theor. 42 500301
175. Calabrese P and Lefevre A 2008 Phys. Rev. A 78 032329
176. Holzhey C, Larsen F and Wilczek F 1994 Nucl. Phys. B 424 443
177. Calabrese P and Cardy J 2004 J. Stat. Mech. P06002
178. Calabrese P and Cardy J 2009 J. Phys. A: Math. Theor. 42 504005
179. Cardy J 2010 J. Stat. Mech. P10004
180. Jin B-Q and Korepin V E 2004 J. Stat. Phys. 116 79 (Pubitemid 39129772)
181. Calabrese P and Essler F H L 2010 J. Stat. Mech. P08029
182. Calabrese P, Mintchev M and Vicari E 2012 J. Phys. A: Math. Theor. 45 105206
183. Calabrese P, Mintchev M and Vicari E 2012 Europhys. Lett. 97 20009
184. Vicari E 2012 Phys. Rev. A 85 062104
185. Nespolo J and Vicari E 2013 Phys. Rev. A 87 032316
186. Klich I and Levitov L 2009 Phys. Rev. Lett. 102 100502
187. Song H F, Rachel S and Le Hur K 2010 Phys. Rev. B 82 012405
188. Song H F, Flindt C, Rachel S, Klich I and Le Hur K 2011 Phys. Rev. B 83 161408
189. Song H F, Rachel S, Flindt C, Klich I, Laflorencie N and Le Hur K 2012 Phys. Rev. B 85 035409
190. Calabrese P, Mintchev M and Vicari E 2012 Europhys. Lett. 98 20003
191. Polkovnikov A and Gritsev V 2008 Nature Phys. 4 477
192. Rajabpour M A and Sotiriadis S, 2013 arXiv:1307.7697