Quantum Engineering : Theory and Design of Quantum Coherent Structures
A. M. Zagoskin
Bok Engelsk 2011 · Electronic books.
| Annen tittel | |
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| Utgitt | Cambridge : Cambridge University Press , 2011
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| Omfang | 1 online resource (346 p.)
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| Opplysninger | Description based upon print version of record.. - Cover; Title; Copyright; Dedication; Contents; Preface; 1 Quantum mechanics for quantum engineers; 1.1 Basic notions of quantum mechanics; 1.1.1 Quantum axioms; 1.1.2 Quantum--classical boundary: the Schrödinger's cat paradox; 1.2 Density matrix formalism; 1.2.1 Justification and properties; 1.2.2 Averages, probabilities and coherences; 1.2.3 Entanglement; 1.2.4 Liouville--von Neumann equation; 1.2.5 Wigner function; 1.2.6 Perturbation theory for density matrix. Linear response theory; 1.2.7 Fluctuation-dissipation theorem; 1.3 Evolution of density matrix in open systems. - 1.3.1 Getting rid of the environment1.3.2 Master equation for the density matrix; Lindblad operators; 1.3.3 An example: a non-unitary evolution of a two-level system. Dephasing and relaxation; 1.3.4 *Non-unitary vs. unitary evolution; 1.4 Quantum dynamics of a two-level system; 1.4.1 Bloch vector and Bloch sphere; 1.4.2 Bloch equations and quantum beats; 1.4.3 Rabi oscillations; 1.4.4 *Rabi oscillations in the presence of dissipation; 1.5 Slow evolution of a quantum system; 1.5.1 Adiabatic theorem; 1.5.2 Landau--Zener--Stückelberg effect; 2 Superconducting quantum circuits. - 2.1 Josephson effect2.1.1 Superconductivity: A crash course; 2.1.2 Weak superconductivity; 2.1.3 rf SQUID; 2.1.4 dc SQUID; 2.1.5 Current-biased Josephson junction; 2.2 Quantum effects in Josephson junctions. Phase and flux qubits; 2.2.1 Number and phase as quantum observables; 2.2.2 Phase qubit: Current-biased Josephson junction in quantum limit; 2.2.3 rf SQUID flux qubit; 2.3 Circuit analysis for quantum coherent structures. More flux qubits; 2.3.1 Lagrangian formalism for non-dissipative circuits; 2.3.2 Dissipative elements in a circuit -- Lagrange approach. - 2.3.3 Hamilton and Routh functions for a circuit2.3.4 Second quantization formalism for circuits; 2.3.5 Persistent current flux qubit; 2.4 Charge qubits; 2.4.1 Charge regime: Normal conductors; 2.4.2 Charge regime: Superconductors; 2.4.3 Charge qubit; 2.4.4 Quantronium; 2.4.5 *Charge and quasicharge. Bloch oscillations; 2.5 Quantum inductance and quantum capacitance; 2.5.1 Quantum inductance; 2.5.2 Quantum capacitance; 2.6 *Superconductivity effects in normal conductors; 2.6.1 *Andreev reflection and proximity effect; 2.6.2 *Andreev levels and Josephson current in SNS junctions. - 3 Quantum devices based on two-dimensional electron gas3.1 Quantum transport in two dimensions; 3.1.1 Formation of two-dimensional electron gas inheterojunction devices; 3.1.2 Conductance quantization in a point contact; 3.1.3 Quantum transport from scattering matrix: Landauer formalism. Landauer formula and its modifications; 3.1.4 Quantum point contact as a quantum detector; 3.1.5 *Back-action dephasing by a QPC detector: a more rigorous approach; 3.2 2DEG quantum dots; 3.2.1 Linear and nonlinear transport through a double quantum dot. - 3.2.2 Coherent manipulation of charge in 2DEG quantum dots. - A self-contained presentation of the theoretical methods and experimental results in quantum engineering for graduate students.
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| ISBN | 9780521113694
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