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Chapter
Creating Entangled States between SQUID Rings and Electromagnetic Fields
The problem of entangling a SQUID ring inductively coupled to an electromagnetic field mode is considered here. It is demonstrated by solving the time dependent Schrödinger equation that a system with varying ...
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Chapter
A SQUID Ring-Resonator Finate State Machine
In this paper we consider a system comprising a highly hysteretic, single Josephson weak link SQUID ring (i.e. where 2πL s I c/Φ 0 ≫ 1 for a SQUID r...
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Chapter
Frequency Down Conversion and Entanglement between Electromagnetic Field Modes via a Mesoscopic SQUID Ring
In this chapter, and by analogy with Quantum Optics, the properties of SQUID rings (here, a Josephson weak link enclosed by a thick superconducting ring) in the quantum regime are discussed. In particular, the...
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Chapter
Squid Rings As Devices for Controlling Quantum Entanglement and Information
We model a SQUID ring coupled to one or two electromagnetic field oscillator modes, each component being treated quantum mechanically. We show that the external flux on the SQUID ring can be used to control th...
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Chapter
Vortices In Josephson Arrays Interacting With Nonclassical Microwaves In A Dissipative Environment
Vortices circulating in a ring made from a Josephson array in the insulating phase are studied. The ring contains a “dual Josephson junction” through which the vortices tunnel. External nonclassical microwaves...
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Chapter
Manipulating Quantum Transitions in A Persistent Current Qubit
This paper discusses two methods for generating quantum transitions between energy eigenstates in a model persistent current qubit. The alternatives are compared and their advantages and disadvantages are cons...
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Article
Vortices in Josephson arrays interacting with non-classical microwaves: The effect of dissipation
Vortices circulating in a ring made from a Josephson array in the insulating phase are studied. The ring contains a `dual Josephson junction' through which the vortices tunnel. External non-classical microwave...
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Chapter
The Non-Perturbative Quantum Behaviour of a Squid Ring in a Strong Electromagnetic Field
We investigate the use of a time-dependent electromagnetic field to stimulate quantum transitions in a macroscopic superconducting circuit. Using two different models for the electromagnetic field, we show tha...
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Article
Solutions of the Time-Dependent Schrödinger Equation for a Two-State System
The statistical properties of a single quantum object and an ensemble of independent such objects are considered in detail for two-level systems. Computer simulations of dynamic zero-point quantum fluctuations...
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Article
Broken Gauge Symmetry in Macroscopic Quantum Circuits
In this paper, we discuss the macroscopic quantum behavior of simple superconducting circuits. Starting from a Lagrangian for electromagnetic field with broken gauge symmetry, we construct a quantum circuit mo...
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Chapter
Quantum Electrodynamics in Superconducting Circuits
We discuss the appearence of quantum electrodynamic effects in superconducting circuits. We concentrate on one simple system; a thick superconducting ring containing a single Josephson weak link. We construct ...
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Article
The quantum to classical crossover for a weak link capacitor
We consider a model weak link, an ultra-small capacitor subject to tunnelling, to ohmic dissipation and fed with an external displacement current. The framework we employ is the new approach of quantum state d...
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Chapter
Observation of Quantum Jumps in Squid Rings
In this paper we describe an experimental technique which we have used to probe the low lying energy levels of a quantum mechanical SQUID ring and to observe transitions between these levels.
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Chapter and Conference Paper
Tunnel Current Modifications due to Finite Tunneling Times
We examine the effects of a finite tunnelling time (independent of its exact definition) on tunnel currents through insulating barriers. In particular we show how the Josephson tunnelling between superconducto...
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Chapter and Conference Paper
Introducing Dissipation in the Schrödinger Picture
We discuss various methods of introducing dissipation to the Schrodinger picture, in the light of the de Broglie-Bohm quantum potential viewpoint. This favours non-linear equations, and Kostin’s Schrödinger-La...
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Chapter and Conference Paper
An Analysis of Non-Linear Behaviour in the Radio Frequency SQUID Magnetometer
Using a model rf-SQUID magnetometer; taken to be a linear classical circuit coupled reactively to a macroscopic quantum circuit, in the adiabatic limit, we investigate the effect of quantum mechanical transiti...
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Article
Adding dissipation to the Schrödinger equation from the quantum-potential viewpoint
We discuss methods of adding dissipation to the Schrödinger equation in light of the quantum-potential interpretation of quantum mechanics. This favors nonlinear equations in general and Kostin's Schrödinger-L...
