NMR investigations of Dynamical Tunneling in Spin Systems
- URL: http://arxiv.org/abs/2212.12350v1
- Date: Fri, 23 Dec 2022 14:07:07 GMT
- Title: NMR investigations of Dynamical Tunneling in Spin Systems
- Authors: V. R. Krithika, M. S. Santhanam, and T. S. Mahesh
- Abstract summary: In chaotic Hamiltonian systems, dynamical tunneling refers to quantum tunneling between states whose classical limit correspond to symmetry-related regular regions separated by a chaotic zone.
Here, an experimental realization of dynamical tunneling in spin systems is reported using nuclear magnetic resonance (NMR) architecture.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In chaotic Hamiltonian systems, dynamical tunneling refers to quantum
tunneling between states whose classical limit correspond to symmetry-related
regular regions separated by a chaotic zone. In the usual quantum tunneling, a
low-energy quantum particle penetrates across a physical barrier of higher
potential energy, by traversing a classically forbidden region, and finally
escapes into another region. In a similar scenario, a classical particle inside
a closed regular region is dynamically bound from escaping to other regions of
the phase space, whereas in the quantum regime tunneling permits escape through
dynamical barrier. Here, an experimental realization of dynamical tunneling in
spin systems is reported using nuclear magnetic resonance (NMR) architecture.
In particular, dynamical tunneling in quantum kicked tops of spin-1 and
spin-3/2 systems using two- and three-qubit NMR registers is investigated. By
extracting time-dependent expectation values of the angular momentum operator
components, size-dependent tunneling behaviour for various initial states is
systematically investigated. Further, by monitoring the adverse effects of
dephasing noise on the tunneling oscillations, we assert the importance of
quantum coherence in enabling dynamical tunneling.
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