The thesis illustrates, with a remarkable combination of theoretical analysis and experimental investigation, how the static Hamiltonian of an oscillator with both 3rd and 4th order non-linearity can morph into a profoundly different Hamiltonian under the influence of an oscillating driving force. In a classical system, such transformation would not be considered a novelty, but the author demonstrates that the new Hamiltonian can possess an exotic symmetry with surprising new quantum properties that one would never anticipate from the original Hamiltonian, with no classical equivalent. The root cause of these unexpected properties is a subtle interference effect, which is only possible in a quantum context. Carefully crafted control experiments ensure that measured data are compared with theoretical predictions with no adjustable parameters. Instrumental in this comparison is a new diagrammatic theory developed by the author.
| ISBN: | 9783031832697 |
| Publication date: | 26th April 2025 |
| Author: | Jayameenakshi Venkatraman |
| Publisher: | Springer an imprint of Springer Nature Switzerland |
| Format: | Hardback |
| Pagination: | 129 pages |
| Series: | Springer Theses |
| Genres: |
Quantum physics (quantum mechanics and quantum field theory) Condensed matter physics (liquid state and solid state physics) Mathematical physics Materials science Mathematical theory of computation |
The thesis illustrates, with a remarkable combination of theoretical analysis and experimental investigation, how the static Hamiltonian of an oscillator with both 3rd and 4th order non-linearity can morph into a profoundly different Hamiltonian under the influence of an oscillating driving force. In a classical system, such transformation would not be considered a novelty, but the author demonstrates that the new Hamiltonian can possess an exotic symmetry with surprising new quantum properties that one would never anticipate from the original Hamiltonian, with no classical equivalent. The root cause of these unexpected properties is a subtle interference effect, which is only possible in a quantum context. Carefully crafted control experiments ensure that measured data are compared with theoretical predictions with no adjustable parameters. Instrumental in this comparison is a new diagrammatic theory developed by the author.
Controlling the Effective Hamiltonian of a Driven Quantum Superconducting Circuit features in the following genres: Quantum physics (quantum mechanics and quantum field theory), Condensed matter physics (liquid state and solid state physics), Mathematical physics, Materials science, Mathematical theory of computation
Controlling the Effective Hamiltonian of a Driven Quantum Superconducting Circuit is available in Hardback
Controlling the Effective Hamiltonian of a Driven Quantum Superconducting Circuit was written by Jayameenakshi Venkatraman and published by Springer an imprint of Springer Nature Switzerland
Controlling the Effective Hamiltonian of a Driven Quantum Superconducting Circuit has 129 pages
Yes it is part of Springer Theses series
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