scholarly journals Finite size effects around pseudo-transition in one-dimensional models with nearest neighbor interaction

2021 ◽  
Vol 70 ◽  
pp. 157-169
Author(s):  
Onofre Rojas
Keyword(s):  
Size Effects ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Neighbor Interaction ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Dimensional Models

scholarly journals Finite-size effects on topological interface states in one-dimensional scattering systems

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
P. A. Kalozoumis ◽  
G. Theocharis ◽  
V. Achilleos ◽  
S. Félix ◽  
O. Richoux ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Interface States ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Scattering Systems

scholarly journals Suppression of finite-size effects in one-dimensional correlated systems

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
A. Gendiar ◽  
M. Daniška ◽  
Y. Lee ◽  
T. Nishino
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Correlated Systems ◽  
One Dimensional

scholarly journals Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime

2016 ◽  
Vol 30 (22) ◽  
pp. 1650307 ◽  
Author(s):  
Elías Castellanos
Keyword(s):  
Ground State ◽  
Size Effects ◽  
Finite Size ◽  
Einstein Condensate ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Low Dimensional ◽  
Bose Einstein

We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

Fermi surface of the one-dimensional Hubbard model: Finite-size effects

1989 ◽  
Vol 162-164 ◽  
pp. 805-806
Author(s):  
C. Bourbonnais ◽  
H. Nelisse ◽  
A. Reid ◽  
A.-M.S. Tremblay
Keyword(s):  
Fermi Surface ◽  
Hubbard Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
One Dimensional ◽  
The One

scholarly journals FINITE SIZE EFFECTS IN ENTANGLED RINGS OF QUBITS

2004 ◽  
Vol 02 (02) ◽  
pp. 149-169 ◽  
Author(s):  
T. MEYER ◽  
U. V. POULSEN ◽  
K. ECKERT ◽  
M. LEWENSTEIN ◽  
D. BRUß
Keyword(s):  
Ground State ◽  
Size Effects ◽  
State Energy ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Nearest Neighbors ◽  
Spin Model ◽  
Total Spin ◽  
Finite Size Effects ◽  
Invariant Rings

We study translationally invariant rings of qubits with a finite number of sites N, and determine the maximal nearest-neighbor entanglement for a fixed z-component of the total spin. For small numbers of sites we present analytical results. We establish a relation between the maximal nearest-neighbor concurrence and the ground state energy of an XXZ spin model. This connection allows us to calculate the concurrence numerically for N≤24. We point out some interesting finite-size effects. Finally, we generalize our results beyond nearest neighbors.

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