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Controlling the Effective Hamiltonian of a Driven Quantum Superconducting Circuit / by Jayameenakshi Venkatraman.

Springer Nature - Springer Physics and Astronomy (R0) eBooks 2025 English International Available online

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Format:
Book
Author/Creator:
Venkatraman, Jayameenakshi., Author.
Series:
Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5061
Language:
English
Subjects (All):
Quantum theory.
Computer simulation.
Quantum computers.
Mathematical physics.
Superconductivity.
Superconductors.
Quantum Simulations.
Quantum Computing.
Mathematical Physics.
Local Subjects:
Quantum Simulations.
Quantum Computing.
Mathematical Physics.
Superconductivity.
Physical Description:
1 online resource (XVII, 129 p. 41 illus., 35 illus. in color.)
Edition:
1st ed. 2025.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Summary:
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.
Contents:
Chapter 1: Preamble
Chapter 2: The squeeze-driven Kerr oscillator (SKO) implemented in a driven superconducting circuit
Chapter 3: Representations and properties of the SKO
Chapter 4: Experimental setup
Chapter 5: Quantum tunneling observations in the ground state manifold of the SKO
Chapter 6: Excited state manifold: spectral kissing, multilevel degeneracies, and their fingerprint on the qubit lifetime
Chapter 7: A decoherence model for the SKO: an RWA model and treating effects beyond the RWA
Chapter 8: Conclusions and future directions.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
3-031-83270-1
OCLC:
1523371565

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