Coherent structures in strongly interacting many-body systems. I. Derivation of dynamics

1989 ◽  
Vol 22 (22) ◽  
pp. 4877-4894 ◽  
Author(s):  
J A Tuszynski ◽  
J M Dixon
Keyword(s):  
Coherent Structures ◽  
Many Body ◽  
Strongly Interacting ◽  
Many Body Systems

THE UNIVERSAL EQUATIONS OF MOTION FOR NONLINEAR FIELDS IN DIFFERENT BASES DESCRIBING STRONGLY INTERACTING MANY-BODY SYSTEMS WITH TWO-BODY INTERACTIONS

1995 ◽  
Vol 09 (13n14) ◽  
pp. 1611-1637 ◽  
Author(s):  
J.M. DIXON ◽  
J.A. TUSZYŃSKI
Keyword(s):  
Plane Wave ◽  
Coherent Structures ◽  
Equations Of Motion ◽  
Quantum Field ◽  
Many Body ◽  
Field Equations ◽  
Strongly Interacting ◽  
Highly Nonlinear ◽  
Many Body Systems ◽  
Definition Of

A brief account of the Method of Coherent Structures (MCS) is presented using a plane-wave basis to define a quantum field. It is also demonstrated that the form of the quantum field equations, obtained by MCS, although highly nonlinear for many-body systems with two-body interactions, is independent of the basis of states used for the definition of the field.

scholarly journals A Quantum Many-Body Spin System in an Optical Lattice Clock

Science ◽  
2013 ◽  
Vol 341 (6146) ◽  
pp. 632-636 ◽  
Author(s):  
M. J. Martin ◽  
M. Bishof ◽  
M. D. Swallows ◽  
X. Zhang ◽  
C. Benko ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Dynamical Evolution ◽  
Many Body ◽  
Spin Coherence ◽  
Atomic Spin ◽  
Strongly Interacting ◽  
Optical Lattice Clock ◽  
Many Body Effects ◽  
Many Body Systems ◽  
Spin Measurements

Strongly interacting quantum many-body systems arise in many areas of physics, but their complexity generally precludes exact solutions to their dynamics. We explored a strongly interacting two-level system formed by the clock states in 87Sr as a laboratory for the study of quantum many-body effects. Our collective spin measurements reveal signatures of the development of many-body correlations during the dynamical evolution. We derived a many-body Hamiltonian that describes the experimental observation of atomic spin coherence decay, density-dependent frequency shifts, severely distorted lineshapes, and correlated spin noise. These investigations open the door to further explorations of quantum many-body effects and entanglement through use of highly coherent and precisely controlled optical lattice clocks.

scholarly journals Macroscopic quantum superpositions in highly excited strongly interacting many-body systems

2003 ◽  
Vol 67 (1) ◽  
Author(s):  
S. Yu. Kun ◽  
L. Benet ◽  
L. T. Chadderton ◽  
W. Greiner ◽  
F. Haas
Keyword(s):  
Many Body ◽  
Macroscopic Quantum ◽  
Strongly Interacting ◽  
Quantum Superpositions ◽  
Many Body Systems

scholarly journals Enhancing violations of Leggett-Garg inequalities in nonequilibrium correlated many-body systems by interactions and decoherence

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
J. J. Mendoza-Arenas ◽  
F. J. Gómez-Ruiz ◽  
F. J. Rodríguez ◽  
L. Quiroga
Keyword(s):  
Quantum Transport ◽  
Minimal Model ◽  
Analytical Study ◽  
Particle Interactions ◽  
Many Body ◽  
Strongly Interacting ◽  
Maximal Violation ◽  
Many Body Systems

AbstractWe identify different schemes to enhance the violation of Leggett-Garg inequalities in open many-body systems. Considering a nonequilibrium archetypical setup of quantum transport, we show that particle interactions control the direction and amplitude of maximal violation, and that in the strongly-interacting and strongly-driven regime bulk dephasing enhances the violation. Through an analytical study of a minimal model we unravel the basic ingredients to explain this decoherence-enhanced quantumness, illustrating that such an effect emerges in a wide variety of systems.

scholarly journals Polariton dynamics in strongly interacting quantum many-body systems

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
A. Camacho-Guardian ◽  
K. Knakkergaard Nielsen ◽  
T. Pohl ◽  
G. M. Bruun
Keyword(s):  
Many Body ◽  
Strongly Interacting ◽  
Many Body Systems

scholarly journals Dynamics of spin and density fluctuations in strongly interacting few-body systems

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Rafael Emilio Barfknecht ◽  
Angela Foerster ◽  
Nikolaj Thomas Zinner
Keyword(s):  
Sudden Change ◽  
Density Fluctuations ◽  
Many Body ◽  
Remarkable Feature ◽  
Strongly Interacting ◽  
Spin Excitations ◽  
Internal States ◽  
Body Level ◽  
Density Dynamics ◽  
Many Body Systems

Abstract The decoupling of spin and density dynamics is a remarkable feature of quantum one-dimensional many-body systems. In a few-body regime, however, little is known about this phenomenon. To address this problem, we study the time evolution of a small system of strongly interacting fermions after a sudden change in the trapping geometry. We show that, even at the few-body level, the excitation spectrum of this system presents separate signatures of spin and density dynamics. Moreover, we describe the effect of considering additional internal states with SU(N) symmetry, which ultimately leads to the vanishing of spin excitations in a completely balanced system.

Sign in / Sign up

Export Citation Format

Share Document