By Andrei B. Klimov
Written by means of significant members to the sphere who're renowned in the neighborhood, this can be the 1st finished precis of the numerous effects generated by way of this method of quantum optics up to now. As such, the ebook analyses chosen themes of quantum optics, concentrating on atom-field interactions from a group-theoretical viewpoint, whereas discussing the critical quantum optics versions utilizing algebraic language. the general result's a transparent demonstration of some great benefits of utilising algebraic how you can quantum optics difficulties, illustrated through a couple of end-of-chapter difficulties. a useful resource for atomic physicists, graduates and scholars in physics.
Read or Download A Group-Theoretical Approach to Quantum Optics PDF
Best quantum physics books
Few humans learning Gauge box thought have to be confident of the significance of the paintings of 't Hooft. This quantity features a collection of articles and overview issues masking his recognized stories at the renormalization of non-Abelian gauge theorems, topological phenomena in gauge box thought and techniques at the function of black holes in quantum gravity.
The current quantity box conception, Quantum Gravity and Strings, II includes for the lectures brought in 1985/86 at a joint seminar of the DAPHE observatory at Meudon and the LPTHE college Paris VI. This set of lectures includes chosen themes of present curiosity in box and particle thought, cosmology and statistical mechanics.
The matter e-book in Quantum box concept includes approximately 2 hundred issues of suggestions or tricks that aid scholars to enhance their knowing and strengthen abilities valuable for pursuing the topic. It bargains with the Klein-Gordon and Dirac equations, classical box concept, canonical quantization of scalar, Dirac and electromagnetic fields, the tactics within the lowest order of perturbation thought, renormalization and regularization.
- The Second Creation: Makers of the Revolution in Twentieth-Century Physics
- Quantum Relations in Photo-Electric Phenomena (1915)(en)(6s)
- Elements of Quantum Information
- By Rodolfo Gambini - Loops, Knots, Gauge Theories and Quantum Gravity (Cambridge Monog (2000-07-18) [Paperback]
Extra resources for A Group-Theoretical Approach to Quantum Optics
C. c. 48, the operators describing a collection of A indistinguishable atoms with three energy levels. There are still three conﬁgurations, and appropriate operators are simply obtained by substituting jk jk sz ↔ Sz and E → AE. Then the atomic transition operators are : S12 ±, S23 ± : S13 ±, S23 ± V : S12 ±, S13 ± jk jk The matrix realization of each Sz , S± for each conﬁguration form a symmetric irreducible representation of the su(3) algebra of the dimension (A + 1)(A + 2)/2. 51) and all the Sz operators commute.
In terms of bi and bj , the collective atomic operators have the form † S ij = bj bi , i, j = 1, 2, . . 45). 49) act on the Hilbert space of n harmonic oscillators with the basis |k1 , k2 , . . , kn = |k1 ⊗ |k2 ⊗ · · · ⊗ |kn such that bi |k1 , . . , ki , . . , kn = ki |k1 , . . , ki − 1, . . , kn It can easily be seen that the following operator commutes with all the operators of the algebra: n ˆ = A ˆ S ij = 0 A, S j j, j=1 ˆ is just k1 + k2 + · · · + kn = A. Here, ki represents The eigenvalue of this operator A the number of atoms at the ith energy level and A is the total number of atoms.
5 Atoms with n > 2 Energy Levels † We may think of bi and bi as the creation and annihilation operators for the † excitation at the ith atomic level (i = 1, 2, . . , n). In terms of bi and bj , the collective atomic operators have the form † S ij = bj bi , i, j = 1, 2, . . 45). 49) act on the Hilbert space of n harmonic oscillators with the basis |k1 , k2 , . . , kn = |k1 ⊗ |k2 ⊗ · · · ⊗ |kn such that bi |k1 , . . , ki , . . , kn = ki |k1 , . . , ki − 1, . . , kn It can easily be seen that the following operator commutes with all the operators of the algebra: n ˆ = A ˆ S ij = 0 A, S j j, j=1 ˆ is just k1 + k2 + · · · + kn = A.