Noncanonical quantum optics

  title={Noncanonical quantum optics},
  author={Marek Czachor},
  journal={arXiv: Quantum Physics},
  • M. Czachor
  • Published 20 March 2000
  • Physics
  • arXiv: Quantum Physics
Modification of the right-hand-side of canonical commutation relations (CCR) naturally occurs if one considers a harmonic oscillator with indefinite frequency. Quantization of electromagnetic field by means of such a non-CCR algebra naturally removes the infinite energy of vacuum but still results in a theory which is very similar to quantum electrodynamics. An analysis of perturbation theory shows that the non-canonical theory has an automatically built-in cut-off but requires charge/mass… 

A solvable model of interacting photons

It is a general belief that the relevant models of quantum field theory cannot be solved analytically. It is even not clear how to formulate these models in a mathematically consistent manner. Only

Regularization as Quantization in Reducible Representations of CCR

A covariant quantization scheme employing reducible representations of canonical commutation relations with positive-definite metric and Hermitian four-potentials (an alternative to the Gupta-Bleuler

Non-classical correlations in reducible quantum electrodynamics

  • J. Naudts
  • Physics
    Journal of Physics Communications
  • 2019
The question is discussed whether the momentum of a photon has a quantum uncertainty or whether it is a classical quantity. The latter assumption is the main characteristic of reducible Quantum

Quantization of free electromagnetic field: A different approach to the time-like polarization

A four-dimensional photon polarization space, such that gives a different interpretation of the ladder operators for the time-like degree comparing to the Gupta-Bleuler formulation is presented. This

Emergent Coulomb Forces in Reducible Quantum Electrodynamics

This paper discusses an attempt to develop a mathematically rigorous theory of quantum electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that

J an 2 01 9 Emergent Coulomb forces in reducible Quantum Electrodynamics

This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that

Reducible representations of CAR and CCR with possible applications to field quantization

Reducible representations of CAR and CCR are applied to second quantization of Dirac and Maxwell fields. The resulting field operators are indeed operators and not operator-valued distributions.

Cavity-QED Tests of Representations of Canonical Commutation Relations Employed in Field Quantization

Various aspects of dissipative and nondissipative decoherence of Rabi oscillations are discussed in the context of field quantization in alternative representations of CCR. Theory is confronted with

Relativistic EPR-type experiments for photons in the background of reducible representation HOLA algebras

Relativistic EPR-type experiments for photons in the background of reducible representation algebras are discussed. A model for the four Bell states, such that maintains maximally correlated in two



The Quantum Theory of the Emission and Absorption of Radiation

The new quantum theory, based on the assumption that the dynamical variables do not obey the commutative law of multiplication, has by now been developed sufficiently to form a fairly complete theory

Photon scattering from atoms in an atom interferometer: Coherence lost and regained.

Experiments are discussed here in which this entanglement results from the elastic scattering of a photon from an atom initially in a state with extended spatial coherence inside an atom interferometer.

Operational Quantum Physics

Operational Quantum Physics offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory. Accordingly the notion of an

Dispersion cancellation and quantum eraser experiments analyzed in the Wigner function formalism

We extend the Wigner function formalism for parametric down-conversion experiments presented in a previous paper [Phys. Rev. A 55 3879 (1997)] to experiments involving propagation through a

Fourth-order interference in the Wigner representation for parametric down-conversion experiments

In the Wigner formalism, after giving a general description of a light beam, the theory of parametric down-conversion is developed to second-order in the coupling constant. We then describe the

Observation of Interference Between Two Bose Condensates

It is demonstrated that Bose condensed atoms are “laser-like”; that is, they are coherent and show long-range correlations and have direct implications for the atom laser and the Josephson effect for atoms.

The conceptual development of quantum mechanics

Market: Historians of science and students. An enlarged and revised edition of a volume that offers a systematic and comprehensive account of the historical development of quantum mechanics for the

Output Coupler for Bose-Einstein Condensed Atoms

We have demonstrated an output coupler for Bose condensed atoms in a magnetic trap. Short pulses of rf radiation were used to create Bose condensates in a superposition of trapped and untrapped

Spontaneous emission from an extended wavepacket

The authors study the spontaneous emission of an atom described by an extended wavepacket. They show that the shape of the emitted line is affected by the Doppler shifts and carries the information

Zur Quantenmechanik. II.

ZusammenfassungDie aus Heisenbergs Ansätzen in Teil I dieser Arbeit entwickelte Quantenmechanik wird auf Systeme von beliebig vielen Freiheitsgraden ausgedehnt. Die Störungstheorie wird für nicht