Abstract
This is work, the concept of which I have been mulling by myself and with Vern Sandberg over the last few years. Vera is now in the Medium Energy Physics Division at Los Alamos. He used to be in Kip Thorn’s group at Caltech and before that he was with John Wheeler’s group at Texas. Also, the stuff I’ll be talking about tomorrow partially involves work which we jointly did with Bob Fisher, who is an experimental laser man.
This written version is based upon a recording of the two lectures actually delivered. The text has been edited to include topics raised by the questions and comments of the participants, both at the lectures and during breaks.
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References
T. Holstein and H. Primakoff, Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet, Phys. Rev. 58:1098 (1940).
N. Bogolubov, On the Theory of Superfluidity, J. Phys. USSR 11:292 (1947).
D. S. Saxon, “Elementary Quantum Mechanics, Preliminary Edition,” Holden-Day, San Francisco (1964), p. 162.
E.H. Kennard, Zur Quantenmechanik einfacher Bewegungstypen, Zeit. Phys. 44:326 (1927).
H. Takahasi, Information Theory of Quantum-Mechanical Channels, Ad. Communication Systems 1:227 (1965).
D. Stoler, Equivalence Classes of Minimum Uncertainty Packets, Phys. Rev. D 1:3217 (1970); 4:1925 (1974)
H.P. Yuen, Two-photon coherent states of the radiation field, Phys. Rev. A 13:2226 (1976)
J.N. Hollenhorst, Quantum limits on resonant-mass gravitational-radiation detectors, Phys. Rev. D 19:1669 (1979).
I. Fugiwara and K. Miyoshi, Pulsating States for Quantual Harmonic Oscillator, Prog. Theor. Phys. 64:715 (1980).
V. V. Dodonov, E. V. Kurmyshev, and V.I. Man’ko, Generalized Uncertainty Relation and Correlated Coherent States, Phys. Lett. 79A:150 (1980).
P. A. K. Rajogopal and J. T. Marshall, New coherent states with applications to time-dependent systems, Phys. Rev. A 26: 2977 (1982).
HP. Yuen, Contractive States and the Standard Quantum Limit for Monitoring Free-Mass Positions, Phys. Rev. Lett. 51:719 (1983).
E. Schrödinger, Der stetige Ubergang von der Mikro- zur Makromechan-ik, Naturwiss. 28: 664 (1926).
R. J. Glauber, Coherent and Incoherent States of the Radiation Field, Phys. Rev. 131:2766 (1963).
J. R. Klauder and E. C. G. Sudarshan, “Fundamentals of Quantum Optics,” Benjamin, New York (1968).
L. I. Schiff, “Quantum Mechanics, 2nd. Ed.,” McGraw Hill, New York (1955), p. 58.
M. M. Nieto and V. P. Gutschick, Inequivalence of the classes of classical and quantum harmonic potentials: Proof by example, Phys. Rev. D 23:922 (1981); M. M. Nieto, Uncountability of the sets of harmonic potentials, Phys. Rev. D 24:1030 (1981).
P. B. Abraham and H. E. Moses, Changes in potentials due to changes in the point spectrum: Anharmonic oscillators with exact solutions, Phys. Rev. A 22:1333 (1980).
G. Ghosh and R. W. Hasse, Inequivalence of the classes of quantum and classical harmonic potentials: Proof by example, Phys. Rev. D 24:1027 (1981).
M. M. Nieto and L. M. Simmons, Jr., Coherent States for general potentials. I. Formalism, Phys. Rev. D 20:1321 (1979), and five other articles in the series leading up to M. M. Nieto, L. M. Simmons, Jr., and V. P. Gutschick, Coherent states for general potentials. VI. Conclusions about the classical motion and the WKB approximation, Phys. Rev. D 23: 927 (1981).
R. A. Fisher, M. M. Nieto, and V. D. Sandberg, Impossibility of naively generalizing squeezed coherent states, Phys. Rev. D 29:1107 (1984).
T. S. Santhanam and V. V. Satyanarayana, Impossibility of squeezed coherent states for a para-Bose oscillator, Phys. Rev, D (in press).
G. Leuchs, Status and Future Prospects of Squeezed State and Anti-bunching Experiments, these Proceedings.
C. M. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg, and M. Zimmerman, On the measurement of a weak classical force coupled to a quantum-mechanical oscillator. I. Issues of principle, Rev. Mod. Phys. 52:341 (1980).
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© 1986 Plenum Press, New York
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Nieto, M.M. (1986). What are Squeezed States Really Like?. In: Moore, G.T., Scully, M.O. (eds) Frontiers of Nonequilibrium Statistical Physics. NATO ASI Series, vol 135. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2181-1_22
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