scholarly journals Ordering and fluctuations in the ground state of the one-dimensional and two-dimensionalS=1/2XXZantiferromagnets: A study of dynamical properties based on the recursion method

1994 ◽  
Vol 49 (14) ◽  
pp. 9702-9715 ◽  
Author(s):  
V. S. Viswanath ◽  
Shu Zhang ◽  
Joachim Stolze ◽  
Gerhard Müller
Keyword(s):  
Ground State ◽  
Recursion Method ◽  
One Dimensional ◽  
Dynamical Properties ◽  
The One

scholarly journals Pattern Formation in One-Dimensional Polaron Systems and Temporal Orthogonality Catastrophe

Atoms ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 3
Author(s):  
Georgios M. Koutentakis ◽  
Simeon I. Mistakidis ◽  
Peter Schmelcher
Keyword(s):  
Ground State ◽  
Collective Excitation ◽  
Interspecies Interaction ◽  
Quasi Particle ◽  
Impurity Potential ◽  
One Dimensional ◽  
Zero Range ◽  
Dynamical Properties ◽  
The One

Recent studies have demonstrated that higher than two-body bath-impurity correlations are not important for quantitatively describing the ground state of the Bose polaron. Motivated by the above, we employ the so-called Gross Ansatz (GA) approach to unravel the stationary and dynamical properties of the homogeneous one-dimensional Bose-polaron for different impurity momenta and bath-impurity couplings. We explicate that the character of the equilibrium state crossovers from the quasi-particle Bose polaron regime to the collective-excitation stationary dark-bright soliton for varying impurity momentum and interactions. Following an interspecies interaction quench the temporal orthogonality catastrophe is identified, provided that bath-impurity interactions are sufficiently stronger than the intraspecies bath ones, thus generalizing the results of the confined case. This catastrophe originates from the formation of dispersive shock wave structures associated with the zero-range character of the bath-impurity potential. For initially moving impurities, a momentum transfer process from the impurity to the dispersive shock waves via the exerted drag force is demonstrated, resulting in a final polaronic state with reduced velocity. Our results clearly demonstrate the crucial role of non-linear excitations for determining the behavior of the one-dimensional Bose polaron.

Dimer Character of the Ground State of the One Dimensional t-J-J' Model

1993 ◽  
Vol 62 (2) ◽  
pp. 834-834
Author(s):  
Kazuhiro Sano ◽  
Ken'ichi Takano
Keyword(s):  
Ground State ◽  
One Dimensional ◽  
The One
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