scholarly journals Impact of drive harmonics on the stability of Floquet many-body localization

2021 ◽  
Vol 103 (21) ◽  
Author(s):  
Asaf A. Diringer ◽  
Tobias Gulden
Keyword(s):  
Many Body ◽  
The Stability

scholarly journals Study of Zero Temperature Ground State Properties of the Repulsive Bose-Einstein Condensate in an Anharmonic Trap

2021 ◽  
Vol 13 (3) ◽  
pp. 733-744
Author(s):  
P. K. DEBNATH
Keyword(s):  
Ground State ◽  
Expansion Method ◽  
Einstein Condensate ◽  
Zero Temperature ◽  
Many Body ◽  
Ground State Properties ◽  
Potential Harmonic ◽  
The Stability ◽  
Average Size ◽  
Body Potential

The zero-temperature ground state properties of experimental 87Rb condensate are studied in a harmonic plus quartic trap [ V(r) =  ½mω2r2 + λr4 ]. The anharmonic parameter (λ) is slowly tuned from harmonic to anharmonic. For each choice of λ, the many-particle Schrödinger equation is solved using the potential harmonic expansion method and determines the lowest effective many-body potential. We utilize the correlated two-body basis function, which keeps all possible two-body correlations. The use of van der Waals interaction gives realistic pictures. We calculate kinetic energy, trapping potential energy, interaction energy, and total ground state energy of the condensate in this confining potential, modelled experimentally. The motivation of the present study is to investigate the crucial dependency of the properties of an interacting quantum many-body system on λ. The average size of the condensate has also been calculated to observe how the stability of repulsive condensate depends on anharmonicity. In particular, our calculation presents a clear physical picture of the repulsive condensate in an anharmonic trap.

EFFECT OF CHIRALITY ON THE STABILITY OF CARBON NANOTUBES: MOLECULAR-DYNAMICS SIMULATIONS

2001 ◽  
Vol 12 (06) ◽  
pp. 865-870 ◽  
Author(s):  
ŞAKIR ERKOÇ ◽  
OSMAN BARIŞ MALCIOĞLU
Keyword(s):  
Heat Treatment ◽  
Carbon Nanotubes ◽  
Molecular Dynamics ◽  
Potential Energy Function ◽  
Single Wall Carbon Nanotubes ◽  
Many Body ◽  
Chiral Structure ◽  
The Stability ◽  
Dynamics Simulations ◽  
Body Potential

The effect of chirality on the structural stability of single-wall carbon nanotubes have been investigated by performing molecular-dynamics computer simulations. Calculations have been realized by using an empirical many-body potential energy function for carbon. It has been found that carbon nanotube in chiral structure is more stable under heat treatment relative to zigzag and armchair models. The diameter of the tubes is slightly enlarged under heat treatment.

Effect of many-body interactions on the stability of rare-gas halides

1973 ◽  
Vol 7 (2) ◽  
pp. 155-171 ◽  
Author(s):  
E. Lombardi ◽  
R. Ritter ◽  
L. Jansen
Keyword(s):  
Rare Gas ◽  
Many Body ◽  
The Stability ◽  
Many Body Interactions

The role of many-body interactions in the stability of hydrated Cu2+ clusters

1990 ◽  
Vol 141 (2-3) ◽  
pp. 379-392 ◽  
Author(s):  
M.Natália D.S. Cordeiro ◽  
José A.N.F. Gomes ◽  
Angels González-Lafont ◽  
José Maria Lluch ◽  
Juan Bertrán
Keyword(s):  
Many Body ◽  
The Stability ◽  
Many Body Interactions

Some Properties of Coupled RPA Equations with Separable Interactions

1997 ◽  
Vol 06 (02) ◽  
pp. 251-258 ◽  
Author(s):  
Hideo Sakamoto
Keyword(s):  
Ground State ◽  
Random Phase Approximation ◽  
Strength Function ◽  
Random Phase ◽  
Transition Strength ◽  
Body System ◽  
Many Body ◽  
Hartree Fock ◽  
Secular Equations ◽  
The Stability

We investigate some properties of coupled eigenvalue equations in the random phase approximation for fundamental modes of motion in a nuclear many-body system undergoing several separable two-body interactions. Based on the Sturm's method, a new algorithm is proposed for solving such coupled secular equations and for testing the stability condition of the Hartree-Fock ground state. A transition strength in general is expressed in a compact form and, in a restricted case, a continuous strength function is constructed by averaging with a Lorentzian distribution function.

scholarly journals Applications of fidelity measures to complex quantum systems

2016 ◽  
Vol 374 (2069) ◽  
pp. 20150153 ◽  
Author(s):  
Sandro Wimberger
Keyword(s):  
Cold Atoms ◽  
Dimensional System ◽  
Many Body ◽  
Practical Applications ◽  
Dynamical Regimes ◽  
Many Body Systems ◽  
Fidelity Measures ◽  
The Stability ◽  
Low Dimensional ◽  
Quantum Motion

We revisit fidelity as a measure for the stability and the complexity of the quantum motion of single-and many-body systems. Within the context of cold atoms, we present an overview of applications of two fidelities, which we call static and dynamical fidelity, respectively. The static fidelity applies to quantum problems which can be diagonalized since it is defined via the eigenfunctions. In particular, we show that the static fidelity is a highly effective practical detector of avoided crossings characterizing the complexity of the systems and their evolutions. The dynamical fidelity is defined via the time-dependent wave functions. Focusing on the quantum kicked rotor system, we highlight a few practical applications of fidelity measurements in order to better understand the large variety of dynamical regimes of this paradigm of a low-dimensional system with mixed regular–chaotic phase space.

scholarly journals Exploration of the stability of many-body localized systems in the presence of a small bath

2019 ◽  
Vol 99 (19) ◽  
Author(s):  
Marcel Goihl ◽  
Jens Eisert ◽  
Christian Krumnow
Keyword(s):  
Many Body ◽  
The Stability

scholarly journals Loschmidt echo and time reversal in complex systems

2016 ◽  
Vol 374 (2069) ◽  
pp. 20150383 ◽  
Author(s):  
Arseni Goussev ◽  
Rodolfo A. Jalabert ◽  
Horacio M. Pastawski ◽  
Diego A. Wisniacki
Keyword(s):  
Complex Systems ◽  
Time Reversal ◽  
Cold Atoms ◽  
Quantum Evolution ◽  
Many Body ◽  
The Past ◽  
Reversal Procedure ◽  
Physical Effects ◽  
Loschmidt Echo ◽  
The Stability

Echoes are ubiquitous phenomena in several branches of physics, ranging from acoustics, optics, condensed matter and cold atoms to geophysics. They are at the base of a number of very useful experimental techniques, such as nuclear magnetic resonance, photon echo and time-reversal mirrors. Particularly interesting physical effects are obtained when the echo studies are performed on complex systems, either classically chaotic, disordered or many-body. Consequently, the term Loschmidt echo has been coined to designate and quantify the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system, or equivalently to characterize the stability of quantum evolution in the presence of perturbations. Here, we present the articles which discuss the work that has shaped the field in the past few years.

Few-electron quantum-dot spintronics

2017 ◽  
Author(s):  
D.V. Melnikov ◽  
J. Kim ◽  
L.-X. Zhang ◽  
J.-P. Leburton
Keyword(s):  
Electron System ◽  
Stability Diagram ◽  
Theoretical Description ◽  
Exact Diagonalization ◽  
Many Body ◽  
Approximate Methods ◽  
Diagonalization Method ◽  
The Stability ◽  
The Many ◽  
Exact Diagonalization Method

This article examines the spin and charge properties of double and triple quantum dots (QDs) populated containing just a few electrons, with particular emphasis on laterally coupled QDs. It first describes the theoretical approach, known as exact diagonalization method, utilized on the example of the two-electron system in coupled QDs that are modelled as two parabolas. The many-body problem is solved via the exact diagonalization method as well as variational Heitler–London and Monte Carlo methods. The article proceeds by considering the general characteristics of the two-electron double-QD structure and limitations of the approximate methods commonly used for its theoretical description. It also discusses the stability diagram for two circular dots and investigates how its features are affected by the QD elliptical deformations. Finally, it assesses the behavior of the two-electron system in the realistic double-dot confinement potentials.

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