Abstract
In this mini-review, we report results from M. Mattioli, et al. [Phys. Rev. Lett. 111, 165302 (2013)], M. Dalmonte, et al. [Phys. Rev. B 92, 045106 (2015)] and M. Mattioli, et al. [New J. Phys. 17, 113039 (2015)], where it is shown that Rydberg atoms trapped in one-dimensional optical lattices are a useful tool to investigate the equilibrium phase diagram and the non-equilibrium dynamics of extended Hubbard models and Kinetically Constrained Models, respectively. Atoms weakly-dressed to an high-lying Rydberg state, which interact with a constant potential extended over several lattice sites, can be in an exotic quantum liquid state, the cluster Luttinger liquid phase [42, 43]. Furthermore, we show how a many-body model of interacting three-level atoms in the V-shaped configuration, where one of the level is a Rydberg state, might relax to equilibrium according to the same rules, so-called kinetic constraints, which are known to reproduce the characteristic dynamical arrest and separation of timescales of real glass-forming materials [62].
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T.F. Gallagher, Rydberg Atoms (Cambridge University Press, Cambridge, 1994)
M. Saffman, T.G. Walker, K. Mølmer, Rev. Mod. Phys. 82, 2313 (2010)
T.F. Gallagher, P. Pillet, Adv. At. Mol. Opt. Phys. 56, 161 (2008)
I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)
R. Blatt, D. Wineland, Nature 453, 1008 (2008)
C. Ates, T. Pohl, T. Pattard, J.M. Rost, Phys. Rev. A 76, 013413 (2007)
H. Weimer, R. Löw, T. Pfau, H.P. Büchler, Phys. Rev. Lett. 101, 250601 (2008)
T. Pohl, E. Demler, M.D. Lukin, Phys. Rev. Lett. 104, 043002 (2010)
G. Pupillo, A. Micheli, M. Boninsegni, I. Lesanovsky, P. Zoller, Phys. Rev. Lett. 104, 223002 (2010)
I. Lesanovsky, B. Olmos, J.P. Garrahan, Phys. Rev. Lett. 105, 100603 (2010)
I. Lesanovsky, Phys. Rev. Lett. 106, 025301 (2011)
S. Ji, C. Ates, I. Lesanovsky, Phys. Rev. Lett. 107, 060406 (2011)
C. Ates, I. Lesanovsky, Phys. Rev. A 86, 013408 (2012)
M. Höning, D. Muth, D. Petrosyan, M. Fleischhauer, Phys. Rev. A 87, 023401 (2013)
D. Petrosyan, M. Höning, M. Fleischhauer, Phys. Rev. A 87, 053414 (2013)
D. Petrosyan, Phys. Rev. A 88, 043431 (2013)
D.W. Schönleber, M. Gärttner, J. Evers, Phys. Rev. A 89, 033421 (2014)
A.W. Glaetzle, R. Nath, B. Zhao, G. Pupillo, P. Zoller, Phys. Rev. A 86, 043403 (2012)
A.W. Glätzle, M. Dalmonte, R. Nath, I. Rousochatzakis, R. Moessner, P. Zoller, Phys. Rev. X 4, 041037 (2014)
T. Macrí, T. Pohl, Phys. Rev. A 89, 011402 (R) (2014)
A.W. Glätzle, M. Dalmonte, R. Nath, C. Gross, I. Bloch, P. Zoller, Phys. Rev. Lett. 114, 173002 (2015)
W. Lechner, P. Zoller, Phys. Rev. Lett. 115, 125301 (2015)
R. Díaz-Méndez, F. Mezzacapo, F. Cinti, W. Lechner, G. Pupillo, Phys. Rev. E 92, 052307 (2015)
P. Schauß, M. Cheneau, M. Endres, T. Fukuhara, S. Hild, A. Omran, T. Pohl, C. Gross, S. Kuhr, I. Bloch, Nature 491, 87 (2012)
G. Günter, M. Robert-de-Saint-Vincent, H. Schempp, C.S. Hofmann, S. Whitlock, M. Weidemüller, Phys. Rev. Lett. 108, 013002 (2012)
C.S. Hofmann, G. Günter, H. Schempp, M. Robert-de-Saint-Vincent, M. Gärttner, J. Evers, S. Whitlock, M. Weidemüller, Phys. Rev. Lett. 110, 203601 (2013)
M. Robert-de-Saint-Vincent, C.S. Hofmann, H. Schempp, G. Günter, S. Whitlock, M. Weidemüller, Phys. Rev. Lett. 110, 045004 (2013)
H. Schempp, G. Günter, M. Robert-de-Saint-Vincent, C.S. Hofmann, D. Breyel, A. Komnik, D.W. Schnöleber, M. Gärttner, J. Evers, S. Whitlock, M. Weidemüller, Phys. Rev. Lett. 112, 013002 (2014)
N. Malossi, M.M. Valado, S. Scotto, P. Huillery, P. Pillet, D. Ciampini, E. Arimondo, O. Morsch, Phys. Rev. Lett. 113, 023006 (2014)
M.M. Valado, N. Malossi, S. Scotto, D. Ciampini, E. Arimondo, O. Morsch, Phys. Rev. A 88, 045401 (2013)
T.M. Weber, M. Höning, T. Niederprüm, T. Manthey, O. Thomas, V. Guarrera, M. Fleischhauer, G. Barontini, H. Ott, Nat. Phys. 11, 157 (2015)
I. Mourachko, D. Comparat, F. de Tomasi, A. Fioretti, P. Nosbaum, V. Akulin, P. Pillet, Phys. Rev. Lett. 80, 253 (1998)
N. Henkel, R. Nath, T. Pohl, Phys. Rev. Lett. 104, 195302 (2010)
F. Cinti, P. Jain, M. Boninsegni, A. Micheli, P. Zoller, G. Pupillo, Phys. Rev. Lett. 105, 135301 (2010)
G. Pupillo, A. Micheli, M. Boninsegni, I. Lesanovsky, P. Zoller, Phys. Rev. Lett. 104, 223002 (2010)
N. Henkel, F. Cinti, P. Jain, G. Pupillo, T. Pohl, Phys. Rev. Lett. 108, 265301 (2012)
F. Cinti, T. Macrì, W. Lechner, G. Pupillo, T. Pohl, Nature Comm. 5, 3235 (2014)
E.P. Gross, Phys. Rev. 106, 161 (1957)
A.F. Andreev, I. Lifshitz, JETP 29, 1107 (1969)
G.V. Chester, Phys. Rev. A 2, 256 (1970)
M. Boninsegni, N.V. Prokof'ev, Rev. Mod. Phys. 84, 759 (2012)
M. Mattioli, M. Dalmonte, W. Lechner, G. Pupillo, Phys. Rev. Lett. 111, 165302 (2013)
M. Dalmonte, W. Lechner, Zi Cai, M. Mattioli, A. M. Läuchli, G. Pupillo, Phys. Rev. B 92, 045106 (2015)
T. Giamarchi, Quantum Physics in One Dimension (Oxford University press, Oxford, 2003)
A.M. Chang, Rev. Mod. Phys. 75, 1449 (2003)
A.M. Chang, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 77, 2538 (1996)
M. Bockrath, D.H. Cobden, J. Lu, A.G. Rinzler, R.E. Smalley, L. Balents, P.L. Mceuen, Nature 397, 598 (1999)
J.W. Britton, et al., Nature 404, 489 (2012)
R. Islam, et al., Science 340, 583 (2013)
C. Schneider, et al., Rep. Prog. Phys. 75, 024401 (2012)
K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, F. Ferlaino, Phys. Rev. Lett. 108, 210401 (2012)
M. Lu, N.Q. Burdick, B.L. Lev, Phys. Rev. Lett. 108, 215301 (2012)
A. Chotia, B. Neyenhuis, S.A. Moses, B. Yan, J.P. Covey, M. Foss-Feig, A.M. Rey, D.S. Jin, J. Ye, Phys. Rev. Lett. 108, 080405 (2012)
T. Takekoshi, et al., Phys. Rev. A 85, 032506 (2012)
F. Ritort, P. Sollich, Adv. Phys. 52, 219 (2003)
D. Chandler, J.P. Garrahan, Ann. Rev. Phys. Chem. 61, 191 (2010)
H. Shintani, H. Tanaka, Nat. Phys. 2, 200 (2006)
K. Binder, W. Kob, Glassy Materials and Disordered Solids (World Scientific, Singapore. 2011)
W. Götze, Complex Dynamics of Glass-Forming Liquids, International Series of Monographs on Physics (Oxford University Press, 2008)
P.G. Debenedetti, F.H. Stillinger, Nature 410, 259 (2001)
L. Berthier, G. Biroli, Rev. Mod. Phys. 83, 587 (2011)
M. Mattioli, A.W. Glätzle, W. Lechner, New J. Phys. 17, 113039 (2015)
D. Jaksch, J.I. Cirac, P. Zoller, S.L. Rolston, R. Côté, M.D. Lukin, Phys. Rev. Lett. 85, 2208 (2000)
M.D. Lukin, M. Fleischhauer, R. Côté, L.M. Duan, D. Jaksch, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 87, 037901 (2001)
E. Urban, T.A. Johnson, T. Henage, L. Isenhower, D.D. Yavuz, T.G. Walker, M. Saffman, Nat. Phys. 5, 110 (2009)
A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, P. Grangier, Nat. Phys. 5, 115 (2009)
T.E. Markland, J.A. Morrone, B.J. Berne, K. Miyazaki, E. Rabani, D.R. Reichman, Nat. Phys. 7, 134137 (2011)
W. Lechner, P. Zoller, Phys. Rev. Lett. 111, 185306 (2013)
B. Olmos, I. Lesanovsky, J.P. Garrahan, Phys. Rev. Lett. 109, 020403 (2012)
B. Olmos, I. Lesanovsky, J.P. Garrahan, Phys. Rev. E 90, 042147 (2014)
I. Lesanovsky, J.P. Garrahan, Phys. Rev. Lett. 111, 215305 (2013)
M. Marcuzzi, E. Levi, W. Li, J.P. Garrahan, B. Olmos, I. Lesanovsky, New J. Phys. 17, 072003 (2015)
M.M. Valado, C. Simonelli, M.D. Hoogerland, I. Lesanovsky, J.P. Garrahan, E. Arimondo, D. Ciampini, O. Morsch, Phys. Rev. A 93, 040701(R) (2016)
C.N. Likos, A. Lang, M. Watzlawek, H. Löwen, Phys. Rev. E 63, 031206 (2001)
B.M. Mladek, et al., Phys. Rev. Lett. 96, 045701 (2006)
C.N. Likos, et al., J. Chem. Phys. 126, 224502 (2007)
B.M. Mladek, et al., Phys. Rev. Lett. 99, 235702 (2007)
J. Fornleitner, G. Kahl, J. Phys.: Condens. Matter 22, 104118 (2010)
D. Coslovich, et al., Soft Matter 7, 2127 (2011)
S.R. White, Phys. Rev. Lett. 69, 2863 (1992)
U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005)
A.K. Zhuravlev, M.I. Katsnelson, Phys. Rev. B 64, 033102 (2001)
K.D. Nelson, X. Li, D.S. Weiss, Nat. Phys. 3, 556 (2007)
Y.O. Dudin, A. Kuzmich, Science 336, 887 (2012)
F. Nogrette, H. Labuhn, S. Ravets, D. Barredo, L. Bguin, A. Vernier, T. Lahaye, A. Browaeys, Phys. Rev. X 4, 021034 (2014)
M. Schlosser, S. Tichelmann, J. Kruse, G. Birkl, Quantum Inf. Process 10, 907 (2011)
A. Abdelrahman, M. Vasiliev, K. Alameh, P. Hannaford, Phys. Rev. A 82, 012320 (2010)
V.Y.F. Leung, D.R.M. Pijn, H. Schlatter, L. Torralbo-Campo, A.L. La Rooij, G.B. Mulder, J. Naber, M.L. Soudijn, A. Tauschinsky, C. Abarbanel, B. Hadad, E. Golan, R. Folman, R.J.C. Spreeuw, Rev. Sci. Instrum. 85, 053102 (2014)
J. Dalibard, Y. Castin, K. Mølmer, Phys. Rev. Lett. 68, 580 (1992)
P. Zoller, M. Marte, D.F. Walls, Phys. Rev. A 35, 198 (1987)
R. Dum, P. Zoller, H. Ritsch, Phys. Rev. A 45, 4879 (1992)
A. Schenzle, R.G. Brewer, Phys. Rev. A 34, 3127 (1986)
D.T. Pegg, P.L. Knight, Phys. Rev. A 37, 4303 (1988)
C. Cohen-Tannoudji, J. Dalibard, Europhys. Lett. 1, 441 (1986)
M.B. Plenio, P.L. Knight, Rev. Mod. Phys. 70, 101 (1998)
W. Nagourney, J. Sandberg, H. Dehmelt, Phys. Rev. Lett. 56, 2797 (1986)
J.C. Bergquist, R.G. Hulet, W.M. Itano, D.J. Wineland, Phys. Rev. Lett. 57, 1699 (1986)
C.W. Gardiner, P. Zoller, Quantum Noise, 3rd edn. (Springer-Verlag, Berlin, Heidelberg, 2004)
T.E. Lee, M.C. Cross, Phys. Rev. A 85, 063822 (2012)
G.H. Fredrickson, H.C. Andersen, Phys. Rev. Lett. 53, 13 (1984)
G.H. Fredrickson, H.C. Andersen, J. Chem. Phys. 83, 5822 (1985)
R.J. Glauber, J. Math. Phys. 4, 294 (1963)
S. Léonard, P. Mayer, P. Sollich, L. Berthier, J.P. Garrahan, J. Stat. Mech., 2007, P07017 (2007)
A.S. Keys, L.O. Hedges, J.P. Garrahan, S.C. Glotzer, D. Chandler Phys. Rev. X 1, 021013 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Mattioli, M. Exotic quantum clusters and non-equilibrium dynamics of Rydberg excitations in one-dimensional optical lattices. Eur. Phys. J. Spec. Top. 225, 2993–3018 (2016). https://doi.org/10.1140/epjst/e2015-50334-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2015-50334-7