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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Partial dynamical symmetry in quantum Hamiltonians with higher-order terms.
J E García-Ramos1, A Leviatan, P Van Isacker
1Department of Applied Physics, University of Huelva, 21071 Huelva, Spain.
Physical Review Letters
|April 28, 2009
Summary
A new method constructs quantum Hamiltonians with partial dynamical symmetry using tensor decomposition. This approach generates solvable states and is demonstrated in atomic nuclei, specifically the 196Pt nucleus.
Area of Science:
- Quantum mechanics
- Nuclear physics
- Mathematical physics
Background:
- Constructing quantum Hamiltonians with specific symmetries is crucial for understanding complex many-body systems.
- Partial dynamical symmetry offers a way to find solvable models within otherwise intractable systems.
Purpose of the Study:
- To propose a generic procedure for building many-body quantum Hamiltonians exhibiting partial dynamical symmetry.
- To enable the construction of hierarchies of interactions leading to solvable states.
Main Methods:
- A tensor decomposition technique is applied to the Hamiltonian.
- The method is illustrated using the SO(6) limit of the interacting boson model.
- The procedure is applied to the specific case of the 196Pt nucleus.
Main Results:
- A generalizable method for constructing Hamiltonians with partial dynamical symmetry has been developed.
- The technique allows for the creation of interaction hierarchies yielding solvable quantum states.
- Successful application to the interacting boson model and the 196Pt nucleus demonstrates the method's utility.
Conclusions:
- The proposed tensor decomposition method provides a powerful tool for constructing quantum Hamiltonians with partial dynamical symmetry.
- This approach facilitates the study of complex nuclear systems by identifying solvable sectors.
- The demonstrated application to 196Pt highlights the practical relevance of the method in nuclear structure physics.
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