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Class of exactly solvable pairing models.

J Dukelsky¹, C Esebbag, P Schuck

¹Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain.

Physical Review Letters

|August 11, 2001

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We developed exactly solvable models for fermion and boson systems using pairing interactions, applicable in any dimension. Repulsive pairing forces in a 2D lattice unexpectedly revealed attractive pair correlations in our exact findings.

Area of Science:

Condensed matter physics
Quantum mechanics
Many-body systems

Background:

Understanding fermion and boson systems is crucial in quantum mechanics.
Pairing interactions play a significant role in various physical phenomena.
Developing exactly solvable models provides fundamental insights into complex systems.

Purpose of the Study:

To introduce novel, exactly solvable models for fermion and boson systems.
To explore the behavior of these systems under pairing interactions in any dimension.
To investigate the emergence of correlations from repulsive forces.

Main Methods:

Developed three classes of exactly solvable models based on pairing interactions.
Applied these models to fermion systems with repulsive pairing forces in a 2D square lattice.

Related Experiment Videos

Performed exact calculations to determine system properties.

Main Results:

The models are exactly solvable in any dimension.
For fermions with repulsive pairing forces, attractive pair correlations were observed.
Demonstrated the utility of the models with initial results from a 2D lattice.

Conclusions:

The presented models offer a powerful tool for studying quantum many-body systems.
Repulsive pairing forces can lead to attractive correlations, challenging conventional intuition.
Exact solutions provide valuable benchmarks for approximate methods in condensed matter physics.