Fetching the paper…

Reading the bibliography…

2011

Two-dimensional Rydberg gases and the quantum hard squares model

Ji, S., Ates, C., Lesanovsky, I.

Original
PDF
Post on X

Understand

We study a two-dimensional lattice gas of atoms that are photo-excited to high-lying Rydberg states in which they interact via the van-der-Waals interaction.

We explore the regime of dominant nearest neighbor interaction where this system is intimately connected to a quantum version of Baxter's hard squares model.
We show that the strongly correlated ground state of the Rydberg gas can be analytically described by a projected entangled pair state that constitutes the ground state of the quantum hard squares model.
This correspondence allows us to identify a first order phase boundary where the Rydberg gas undergoes a transition from a disordered (liquid) phase to an ordered (solid) phase.

Two-dimensional Rydberg gases and the quantum hard squares model · Around

Built on

R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press Ltd., 1982)
1982
Earlier work this paper cites.
M. D. Lukin, et al
2001
Earlier work this paper cites.
W. Guo and H. W. J. Blote, Phys. Rev. E 66
2002
Earlier work this paper cites.
C. Castelnovo, et al
2005
Earlier work this paper cites.
A. Micheli, G. K. Brennen, and P. Zoller, Nat Phys 2
2006
Earlier work this paper cites.
F. Verstraete, et al
2006
Earlier work this paper cites.
R. Heidemann, et al
2007
Earlier work this paper cites.
N. Schuch, et al
2007
Earlier work this paper cites.
K. D. Nelson, X. Li and D. S. Weiss, Nat. Phys. 3
2007
Earlier work this paper cites.

Similar

I. Bloch, J. Dalibard and W. Zwerger, Rev. Mod. Phys. 80
2008
Cited alongside, same era.
K.-K. Ni, et al
2008
Cited alongside, same era.
J. Deiglmayr, et al
2008
Cited alongside, same era.
U. Raitzsch, et al
2008
Cited alongside, same era.
H. Weimer, et al
2008
Cited alongside, same era.
X. Chen, et al
2009
Cited alongside, same era.
M. Saffman, T. G. Walker, and K. Molmer, Rev. Mod. Phys. 82
2010
Cited alongside, same era.
N. Henkel, R. Nath, and T. Pohl, Phys. Rev. Lett. 104

Then

H. Weimer and H. P. Büchler, Phys. Rev. Lett. 105
2010
Later among the works it cites.
J. Honer, et al
2010
Later among the works it cites.
T. Pohl, E. Demler, and M. D. Lukin, Phys. Rev. Lett. 104
2010
Later among the works it cites.
B. Olmos, R. Gonzalez-Ferez, and I. Lesanovsky, Phys. Rev. A 81
2010
Later among the works it cites.
I. Lesanovsky, B. Olmos, and J. P. Garrahan, Phys. Rev. Lett. 105
2010
Later among the works it cites.
B. Olmos, M. Müller, and I. Lesanovsky, New J. Phys. 12
2010
Later among the works it cites.
E. Sela, M. Punk and M. Garst, arXiv:1104.2603 (2011)

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2010

Cited alongside, same era.

G. Pupillo, et al

2010

Cited alongside, same era.

This reduction from an original dimension of 2 36 2^{36} is achieved by exploiting the symmetries of H H

Cited in the paper.

2011

Closest in time.

I. Lesanovsky, Phys. Rev. Lett. 106

2011

Closest in time.

M. Viteau et al

2011

Closest in time.