scholarly journals The Transverse Lattice in 2+1 Dimensions

1996 ◽  
pp. 241-250
Author(s):  
Brett van de Sande ◽  
Simon Dalley
Keyword(s):  
Transverse Lattice

scholarly journals Small-xbehavior of light-cone wave functions in transverse lattice gauge theory

2004 ◽  
Vol 70 (11) ◽  
Author(s):  
J. Bratt ◽  
S. Dalley ◽  
B. van de Sande ◽  
E. M. Watson
Keyword(s):  
Gauge Theory ◽  
Light Cone ◽  
Lattice Gauge Theory ◽  
Wave Functions ◽  
Transverse Lattice ◽  
Lattice Gauge

scholarly journals Metastability and avalanche dynamics in strongly correlated gases with long-range interactions

2018 ◽  
Vol 115 (13) ◽  
pp. 3279-3284 ◽  
Author(s):  
Lorenz Hruby ◽  
Nishant Dogra ◽  
Manuele Landini ◽  
Tobias Donner ◽  
Tilman Esslinger
Keyword(s):  
Long Range ◽  
Optical Cavity ◽  
Density Wave ◽  
Mott Insulator ◽  
Photon Flux ◽  
Transverse Lattice ◽  
Long Range Interactions ◽  
Density Modulation ◽  
Global Coupling ◽  
Trapped Gas

We experimentally study the stability of a bosonic Mott insulator against the formation of a density wave induced by long-range interactions and characterize the intrinsic dynamics between these two states. The Mott insulator is created in a quantum degenerate gas of 87-Rubidium atoms, trapped in a 3D optical lattice. The gas is located inside and globally coupled to an optical cavity. This causes interactions of global range, mediated by photons dispersively scattered between a transverse lattice and the cavity. The scattering comes with an atomic density modulation, which is measured by the photon flux leaking from the cavity. We initialize the system in a Mott-insulating state and then rapidly increase the global coupling strength. We observe that the system falls into either of two distinct final states. One is characterized by a low photon flux, signaling a Mott insulator, and the other is characterized by a high photon flux, which we associate with a density wave. Ramping the global coupling slowly, we observe a hysteresis loop between the two states—a further signature of metastability. A comparison with a theoretical model confirms that the metastability originates in the competition between short- and global-range interactions. From the increasing photon flux monitored during the switching process, we find that several thousand atoms tunnel to a neighboring site on the timescale of the single-particle dynamics. We argue that a density modulation, initially forming in the compressible surface of the trapped gas, triggers an avalanche tunneling process in the Mott-insulating region.

Crystallographic Features of the C-Type Orbital-Ordered, and Charge- and Orbital-Ordered States in the Simple Perovskite Manganite Ca1-xLaxMnO3

2012 ◽  
Vol 706-709 ◽  
pp. 1612-1617
Author(s):  
Yasuhide Inoue ◽  
Masazumi Arao ◽  
Daisuke Shiga ◽  
Yasumasa Koyama
Keyword(s):  
Three Dimensional ◽  
Electronic System ◽  
Lattice System ◽  
Perovskite Manganite ◽  
Orbital Ordering ◽  
Transverse Lattice ◽  
Type Orbital ◽  
Antiferromagnetic Ordering ◽  
Monoclinic Distortion ◽  
Highly Correlated

The C-type orbital-ordered (CTOO), and charge-and orbital-ordered (COO) states are present in the simple perovskite manganite Ca1-xLaxMnO3, which has a three-dimensional highly-correlated electronic system. In this study, the crystallographic features of the CTOO and COO states have been investigated mainly by transmission electron microscopy to understand responses of a lattice system to these orderings. Of these two states, the cooling from the disordered orthorhombic Pnma (DO) state around x = 0.20 resulted in the CTOO state with the monoclinic P21/m symmetry. As a result of the monoclinic distortion as a response of the lattice system, the CTOO state consisted of a banded structure that was characterized by an alternating array of two monoclinic domains with different β values. In 0.30 < x < 0.50, on the other hand, the appearance of the COO state from the DO state on cooling accompanied a transverse lattice modulation with q = []DO as a response to orbital ordering in the COO state. The subsequent cooling in the COO state led to the antiferromagnetic ordering with a large lattice dilatation. In other words, no change in the crystal symmetry occurs in the appearance of the antiferromagnetic ordering.

scholarly journals Mesons on a transverse lattice

2001 ◽  
Vol 64 (3) ◽  
Author(s):  
Simon Dalley
Keyword(s):  
Transverse Lattice
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