Squeezing and superposition states

Abstract

We present a new class of radiation field states which exhibit squeezed fluctuations. This new class of states are formed by a simple implementation of the superposition principle and are fundamentally different from the conventional two-photon coherent squeezed states. We demonstrate the importance of these states as the natural product of the resonant interaction of suitably prepared atoms with the radiation field. We establish a general relationship between reduced quantum fluctuations of these field states and the dipole fluctuations of the atoms which produce them.

Quantum-Optical States in Finite-Dimensional Hilbert Space. I. General Formalism

“…We will show that our states are properly normalized in H (s) of arbitrary dimension and go over into the conventional squeezed vacuum if the dimension is much greater than the square of the squeeze parameter. Squeezing and squeezed states in FD Hilbert spaces were analyzed, in particular, by Wódkiewicz et al [31], Figurny et al [32], Wineland et al [33], Bužek et al [16], and Opatrný et al [20]. An FD analog of the conventional squeezed vacuum was proposed by Miranowicz et al [34].…”

“…In the 1990s, various quantum-optical states were constructed in FD Hilbert spaces in analogy to those in the ID spaces. In particular, (1) various kinds of FD coherent states [16]- [24], (2) FD displaced number states [21], (3) FD even and odd coherent states [25,21,24], (4) FD phase states [26], (5) FD phase coherent states (also referred to as coherent phase states) [27]- [30], (6) FD squeezed states [31]- [34], (7) FD displaced phase states [28], or (8) FD even and odd phase coherent states [35]. The interest in the FD quantum-optical states has been stimulated by the progress in quantum-optical state preparation and measurement techniques [36], in particular, by the development of the discrete quantum-state tomography [37]- [42].…”

Field and dipole squeezing in a driven degenerate Λ quantum-beat system

“…We study the field and atomic dipole squeezing in this system without making any further approximation except for the dipole and rotating-wave approximations in obtaining the model Hamiltonian. In recent years, increased attention has been paid to the squeezing of fluctuations of the atomic dipole variables [11][12][13][14][15][16]. It has been shown that squeezed atoms can radiate squeezed light [12], and a relationship between field and atomic squeezing has been established under different initial conditions for the field and atom [12,13].…”

Entropy squeezing of a multi-photon Jaynes-Cummings atom in the presence of noise

“…This model reveals crucial non-classical properties such as sub-Poissonian statistics, anti-bunching, squeezing and collapse and revival phenomena [4,5]. Of the several interests to the model, one has been devoted to the squeezing properties of the atom [6,7,8,9,10]. In these works, the atomic squeezing properties were studied on the base of the Heisenberg uncertainty relation (HUR).…”