Generalized rotating-wave approximation for arbitrarily large coupling

A generalized version of the rotating-wave approximation for the single-mode spin-boson Hamiltonian is presented. It is shown that performing a simple change of basis prior to eliminating the off-resonant terms results in a significantly more accurate expression for the energy levels of the system. The generalized approximation works for all values of the coupling strength and for a wide range of detuning values, and may find applications in solid-state experiments.Comment: 4 pages, 2 figs, REVTeX

Oscillator tunneling dynamics in the Rabi model

The familiar Rabi model, comprising a two-level system coupled to a quantum harmonic oscillator, continues to produce rich and surprising physics when the coupling strength becomes comparable to the individual subsystem frequencies. We construct approximate solutions for the regime in which the oscillator frequency is small compared to that of the two-level system and the coupling strength matches or exceeds the oscillator frequency. Relating our fully quantum calculation to a previous semi-classical approximation, we find that the dynamics of the oscillator can be considered to a good approximation as that of a particle tunneling in a classical double-well potential, despite the fundamentally entangled nature of the joint system. We assess the prospects for observation of oscillator tunneling in the context of nano- or micro-mechanical experiments and find that it should be possible if suitably high coupling strengths can be engineered.Comment: 25 pages, 5 figures, preprint forma

Torts-Negligent Misrepresentation-Abolition of the Privity Requirement

Defendants, professional consulting engineers, contracted with the city of Chattanooga to design a sewage system. As part of their performance of the contract they prepared a report of geological conditions which was to be distributed by the city to prospective bidders. Plaintiff, a tunneling subcontractor, had no dealings with the defendants, but did rely on their report in making its bid. Because one of defendant\u27s draftsmen carelessly omitted pertinent geological information from the report, it took plaintiff three weeks longer to complete the work than had been anticipated. Plaintiff sued defendant for damages for misrepresentation; held, plaintiff may recover. A person who makes a material and negligent misrepresentation in the course of a business transaction is liable for injuries suffered because of justifiable reliance on the misrepresentation by any member of that class of persons whose reliance was reasonably foreseeable. Texas Tunneling Co. v. City of Chattanooga, 204 F. Supp. 821 (E.D. Tenn. 1962)

SDI and the ABM Treaty: Problems of Negotiation and Interpretation

The ABM Treaty is at least confusing and ambiguous on the core question of whether it applies only to traditional ABM systems. Although it is certainly correct to state that Agreed Statement D did not amend the treaty, it is equally clear that a treaty is to be interpreted in light of any agreement relating to it that is made by the parties in connection with the conclusion of the treaty. On the basis of this principal, and the established principle that all related parts of an agreement must be read together to give meaning and consistency to the whole, analysis based on the entire text and the public record militates in favor of a conclusion that the ABM Treaty prohibits deployment but not research, development, or testing of space-based BMD weapons based on new physical principles, such as SDI weapons

SCIENCE FOR MODERN LIVING *

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/72328/1/j.1949-8594.1953.tb06961.x.pd

Corporations-Officers and Directors-Liability for Representative Acts Under the Sherman Act

An indictment brought under section 1 of the Sherman Act charged appellee and the corporation that employed him with conspiracy to eliminate price competition in the greater Kansas City milk market. Appellee was charged solely, in his capacity as officer, director or agent of the corporation. The district court dismissed the indictment on the ground that natural persons are indictable under section 1 of the Sherman Act only for acts done on their own account. On direct appeal to the Supreme Court, held, reversed and remanded. A corporate officer is liable under section 1 of the Sherman Act whether he acted on his own account or solely in a representative capacity. United States v. Wise, 370 U.S. 405 (1962)

The Great Awakening and the Coming of the American Revolution

The “Great Awakening” was a Christian revival of the mid-Eighteenth century. Dozens of travelling preachers, famous and obscure, along with local ministers, called colonial Americans to a stronger and deeper Christian faith. The Great Awakening was also a trans-Atlantic event. Charles and John Wesley were leaders of the awakening in England. But it was in America where the movement would have its most profound expression and impact. For the Great Awakening, along with the philosophic and scientific developments of the Enlightenment, transformed American culture socially and politically, setting the stage for the American Revolution

CONSERVATION EDUCATION: CRUCIBLE FOR ATTITUDE DEVELOPMENT

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/73617/1/j.1949-8594.1954.tb16774.x.pd

Polaritonic characteristics of insulator and superfluid phases in a coupled-cavity array

Recent studies of quantum phase transitions in coupled atom-cavity arrays have focused on the similarities between such systems and the Bose-Hubbard model. However, the bipartite nature of the atom-cavity systems that make up the array introduces some differences. In order to examine the unique features of the coupled-cavity system, the behavior of a simple two-site model is studied over a wide range of parameters. Four regions are identified, in which the ground state of the system may be classified as either a polaritonic insulator, a photonic superfluid, an atomic insulator, or a polaritonic superfluid.Comment: 7 pages, 9 figures, 1 table, REVTeX 4; published versio