scholarly journals Magnetic quantum correlations in the one-dimensional transverse-field XXZ model

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Salimeh Mahdavifar ◽  
Saeed Mahdavifar ◽  
R. Jafari
Keyword(s):  
Transverse Field ◽  
Quantum Correlations ◽  
Xxz Model ◽  
One Dimensional ◽  
The One

scholarly journals Markovian and Non-Markovian Dynamics in the One-Dimensional Transverse-Field XY Model

2019 ◽  
Vol 176 (2) ◽  
pp. 492-504
Author(s):  
Z. Saghafi ◽  
S. Mahdavifar ◽  
E. Hosseini Lapasar
Keyword(s):  
Transverse Field ◽  
Xy Model ◽  
One Dimensional ◽  
Markovian Dynamics ◽  
The One

scholarly journals EMPTINESS FORMATION PROBABILITY AND QUANTUM KNIZHNIK-ZAMOLODCHIKOV EQUATION

2004 ◽  
Vol 19 (supp02) ◽  
pp. 57-81
Author(s):  
H. E. BOOS ◽  
V. E. KOREPIN ◽  
F. A. SMIRNOV
Keyword(s):  
Quantum Correlations ◽  
Zero Magnetic Field ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
One Dimensional ◽  
Formation Probability ◽  
Antiferromagnetic Ground State ◽  
A New Technique ◽  
The One ◽  
Zamolodchikov Equation

We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of a formation of a ferromagnetic string P(n) in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of the EFP in the inhomogeneous case. It is based on the quantum Knizhnik-Zamolodchikov equation [qKZ]. We calculate EFP for n≤6 for the inhomogeneous case. The homogeneous limit confirms our hypothesis about the relation of quantum correlations and number theory. We also make a conjecture about a structure of EFP for arbrary n.

scholarly journals Fidelity and entanglement entropy in the one-dimensional transverse-field quantum compass model

2013 ◽  
Vol 88 (1) ◽  
pp. 015003 ◽  
Author(s):  
Mostafa Motamedifar ◽  
Saeed Mahdavifar ◽  
Saber Farjami Shayesteh ◽  
Somayyeh Nemati
Keyword(s):  
Entanglement Entropy ◽  
Transverse Field ◽  
One Dimensional ◽  
The One

scholarly journals On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
M. Gianfreda ◽  
G. Landolfi
Keyword(s):  
Quantum Dynamics ◽  
Quantum Correlations ◽  
Time Dependent ◽  
Quantum Decoherence ◽  
Linear Superposition ◽  
Time Intervals ◽  
One Dimensional ◽  
The One ◽  
Basic Features ◽  
Hamiltonian Operators

We discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the Kanai-Caldirola Hamiltonian. We also discuss some basic features such as quantum decoherence of the wave functions resulting from the corresponding quantum dynamics of these systems that exhibit no timedependence in their quantum correlations. In particular, steady statistical momentum averages are seen over well-defined time intervals in the evolution of a linear superposition of the basis states of modified exponentially damped mass systems.

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