scholarly journals Time evolution of infinite classical systems with singular, long range, two body interactions

1976 ◽  
Vol 47 (1) ◽  
pp. 81-95 ◽  
Author(s):  
Errico Presutti ◽  
Mario Pulvirenti ◽  
Brunello Tirozzi
Keyword(s):  
Time Evolution ◽  
Long Range ◽  
Classical Systems

scholarly journals Correlation Dynamics of Dipolar Bosons in 1D Triple Well Optical Lattice

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 909
Author(s):  
Sangita Bera ◽  
Luca Salasnich ◽  
Barnali Chakrabarti
Keyword(s):  
Time Evolution ◽  
Long Range ◽  
Contact Interaction ◽  
Time Scale ◽  
Optical Lattice ◽  
Sudden Change ◽  
Dipolar Interaction ◽  
Einstein Condensation ◽  
Range Interaction ◽  
Definite Time

The concept of spontaneous symmetry breaking and off-diagonal long-range order (ODLRO) are associated with Bose–Einstein condensation. However, as in the system of reduced dimension the effect of quantum fluctuation is dominating, the concept of ODLRO becomes more interesting, especially for the long-range interaction. In the present manuscript, we study the correlation dynamics triggered by lattice depth quench in a system of three dipolar bosons in a 1D triple-well optical lattice from the first principle using the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). Our main motivation is to explore how ODLRO develops and decays with time when the system is brought out-of-equilibrium by a sudden change in the lattice depth. We compare results of dipolar bosons with contact interaction. For forward quench ( V f > V i ) , the system exhibits the collapse–revival dynamics in the time evolution of normalized first- and second-order Glauber’s correlation function, time evolution of Shannon information entropy both for the contact as well as for the dipolar interaction which is reminiscent of the one observed in Greiner’s experiment [Nature, 415 (2002)]. We define the collapse and revival time ratio as the figure of merit ( τ ) which can uniquely distinguish the timescale of dynamics for dipolar interaction from that of contact interaction. In the reverse quench process ( V i > V f ) , for dipolar interaction, the dynamics is complex and the system does not exhibit any definite time scale of evolution, whereas the system with contact interaction exhibits collapse–revival dynamics with a definite time-scale. The long-range repulsive tail in the dipolar interaction inhibits the spreading of correlation across the lattice sites.

Entropy of Classical Systems with Long-Range Interactions

2005 ◽  
Vol 95 (19) ◽  
Author(s):  
T. M. Rocha Filho ◽  
A. Figueiredo ◽  
M A. Amato
Keyword(s):  
Long Range ◽  
Classical Systems ◽  
Long Range Interactions

scholarly journals Time-Evolution of Long Range Ordering in CuAuPd Ternary Alloys

1998 ◽  
Vol 39 (1) ◽  
pp. 159-168 ◽  
Author(s):  
Syo Matsumura ◽  
Tatsuji Furuse ◽  
Kensuke Oki
Keyword(s):  
Time Evolution ◽  
Long Range ◽  
Ternary Alloys ◽  
Long Range Ordering

scholarly journals Entangled states of dipolar bosons generated in a triple-well potential

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Arlei P. Tonel ◽  
Leandro H. Ymai ◽  
Karin Wittmann ◽  
Angela Foerster ◽  
Jon Links
Keyword(s):  
Time Evolution ◽  
Long Range ◽  
Entangled States ◽  
Effective Hamiltonian ◽  
Long Range Interactions ◽  
Coupling Parameters ◽  
Initial States

We study the generation of entangled states using a device constructed from dipolar bosons confined to a triple-well potential. Dipolar bosons possess controllable, long-range interactions. This property permits specific choices to be made for the coupling parameters, such that the system is integrable. Integrability assists in the analysis of the system via an effective Hamiltonian constructed through a conserved operator. Through computations of fidelity we establish that this approach, to study the time-evolution of the entanglement for a class of non-entangled initial states, yields accurate approximations given by analytic formulae.

Effect of long-range interactions on nanoparticle-induced aggregation

2016 ◽  
Vol 18 (33) ◽  
pp. 22929-22936 ◽  
Author(s):  
Wojciech Jeżewski
Keyword(s):  
Size Distribution ◽  
Time Evolution ◽  
Long Range ◽  
Liquid Media ◽  
Long Range Interactions ◽  
Induced Aggregation

The process of attaching liquid media molecules to dispersed nanoparticles is studied by numerically investigating the time evolution of the size distribution of the emerging aggregates.

scholarly journals Nonextensive statistical mechanics: a brief review of its present status

2002 ◽  
Vol 74 (3) ◽  
pp. 393-414 ◽  
Author(s):  
CONSTANTINO TSALLIS
Keyword(s):  
Statistical Mechanics ◽  
Long Range ◽  
Present Status ◽  
A Priori ◽  
Many Body ◽  
Nonextensive Statistical Mechanics ◽  
Physical Systems ◽  
Classical Systems ◽  
Low Dimensional ◽  
Entropic Index

We briefly review the present status of nonextensive statistical mechanics. We focus on (i) the central equations of the formalism, (ii) the most recent applications in physics and other sciences, (iii) the a priori determination (from microscopic dynamics) of the entropic index q for two important classes of physical systems, namely low-dimensional maps (both dissipative and conservative) and long-range interacting many-body hamiltonian classical systems.

scholarly journals Shannon (Information) Measures of Symmetry for 1D and 2D Shapes and Patterns

2021 ◽  
Author(s):  
Edward Bormashenko ◽  
Irina Legchenkova ◽  
Mark Frenkel ◽  
Nir Shvalb ◽  
Shraga Shoval
Keyword(s):  
Time Evolution ◽  
Long Range ◽  
Range Order ◽  
Shannon Information ◽  
Long Range Order ◽  
Total N ◽  
Information Measures ◽  
Measure Of Symmetry ◽  
Fractal Patterns ◽  
Measures Of Symmetry

Informational (Shannon) measures of symmetry are introduced and analyzed for the patterns built of 1D and 2D shapes. The informational measure of symmetry Hsym (G) characterizes the an averaged uncertainty in the presence of symmetry elements from the group G in a given pattern; whereas the Shannon-like measure of symmetry Ωsym (G) quantifies averaged uncertainty of appearance of shapes possessing in total n elements of symmetry belonging to group G in a given pattern. Hsym(G1)=Ωsym(G1)=0 for the patterns built of irregular, non-symmetric shapes. Both of informational measures of symmetry are intensive parameters of the pattern and do not depend on the number of shapes, their size and area of the pattern. They are also insensitive to the long-range order inherent for the pattern. Informational measures of symmetry of fractal patterns are addressed. The mixed patterns including curves and shapes are considered. Time evolution of the Shannon measures of symmetry is treated. The close-packed and dispersed 2D patterns are analyzed.

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