In this case, the nature of quantum mechanics means that an exact solution of the many-body system
is usually impossible.
But an engineered and controlled collection, a "quantum many-body system
," arranges all its atoms in a particular pattern, or correlation, to create the lowest overall energy state.
We focus here on the PMF ([W.sub.PMF](r)), which is the average interaction the particles experience due to collisions with each other and with the solvent; hence, it provides important thermodynamic information about a many-body system
. It can be obtained from the colloids' radial distribution functions, g(r), through the relation (15,23):
The GCM is a macroscopic nuclear structure model in the sense that it considers the nucleus as a charged liquid drop with a definite surface, rather than a many-body system
of constituent particles.
For a many-body system
, quantum potential acting on each particle is a function of the positions of all the other particles and thus, in general, doesn't decrease with distance.
The ground state of QCD is best thought of as a many-body system
for which knowledge of both the elementary excitations of the system and their correlations in the ground state are essential components for a physical understanding.
As Vitiello explains, this is related to the model of the brain as a many-body system
. In such a QFF model those states are ordered and at the same time they are states at minimum energy.
Generally, Hamiltonian of a many-body system
with variety of interactions between particles is too difficult to handle.
But an engineered and controlled collection, a quantum many-body system
, arranges all its atoms in a particular pattern, or correlation, to create the lowest overall energy state.
Such experiments provide us with access to a remarkably clean and tunable realisation of a strongly interacting quantum many-body system
. This is ideal for building up our understanding of many-body physics, which harbours some of the most difficult and relevant questions in the physical sciences.
We address questions of de-coherence in a split many-body system
and the concomitant emergence of classical properties.
On one hand, HEE can be used as a perfect probe to study quantum information science [1-3], strongly correlated quantum systems [4-13], and Many-Body Systems