17 Result(s)
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Article
R. J. Prance
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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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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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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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On weak links fed with irreversible currents
We briefly discuss the usual time-reversible descriptions for displacement- and real-current-fed small-capacitance weak links. Many real laboratory current sources deliver charge in an intrinsically irreversib...
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Microscopic views of simple macroscopic quantum behaviour
For simple-model microscopic systems, we discuss whether (or not) potentially observable macroscopic quantum behaviour can arise, making explicit two criteria which must be satisfied for this to be possible. W...
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Comments on small capacitors
We discuss the concept of an ultrasmall capacitor and the experimental probing of such objects.
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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...
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The response of a superconducting weak-link ring to external adiabatic noise
We discuss the response of a superconducting weak-link ring to externally applied adiabatic noise and show that this can be used as a probe of the low-lying energy eigenstates of the ring. We compare the obser...
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Coherent quantum oscillation trajectories
We discuss coherent oscillations in the quantum potential view of quantum mechanics, giving examples for both a superposition of “position” states, and a superposition of “momentum” states.
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Coupled quantum object dynamics
We discuss the dynamical behaviour of coupled quantum objects. This leads to a novel method of observing macroscopic quantum behaviour.
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Weak-link behavior in the small-charge tunneling limit
The coherent behavior of a weak link in the limit where the stored electric energy dominates the charge tunneling energy is discussed. Particular attention is paid to the realization of the source term in the ...
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Electromagnetic duality in quantum circuits
To illustrate the duality between electric and magnetic views of quantum circuits, we compare and contrast the origins of the Josephson frequency and the current bias frequency in each case.
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The Josephson pendulum as a nonlinear capacitor
In the quantum electrodynamic circuit theory of weak link constrictions, the singly connected weak link exhibits energy bands in charge space. Here, it is shown that charge space energy bands arise also in the...
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Theoretical polarizability of small ferro-electric crystal domains exibiting quantum tunnelling
The implications of macroscopic quantum tunnelling in small single-domain ferro-electric crystals is discussed in terms of the resulting static differential polarizability.
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Schwinger renormalization group equations of state in circuits with classical electrodynamic noise
We discuss the effective noise temperatureT * of a low-temperature circuit in terms of the Schwinger action principle formulation of the quantum Brownian-motion problem, and in the limit ω≪k B T */h. Within this ...
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Josephson torques on rotational superfluid-helium flows
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Macroscopic quantum electrodynamic effects in a superconducting ring containing a Josephson weak link
The problem of coherent flux tunnelling across a Josephson weak link enclosed by a thick superconducting (‘SQUID‘) ring in terms of quantum electrodynamics is considered. We show that for a low effective noise...
