Atomic state that is a coherent superposition?

5 replies · 2K views · last reply
meyol99
Messages
25
Reaction score
1
Equation (1): one over the square root of N_A times the sum from k=1 to N_A of e to the i(k_w minus k_s) times x_k, multiplied by a product of atomic ket states |g1>1 |g1>2 up to |g2>k up to |g1>N_A.

Can someone explain the meaning of the k vector and the general meaning of this equation?
 
Attachments
  • Equation (1): one over the square root of N_A times the sum from k=1 to N_A of e to the i(k_w minus k_s) times x_k, multiplied by a product of atomic ket states |g1>1 |g1>2 up to |g2>k up to |g1>N_A.
    upload_2018-6-4_16-32-42.png
    16.7 KB · Views: 916
1) k is the wave number ##2\pi\over \lambda##
2) difficult if you don't show where this is appearing. Some Stokes amplitude ? In particular: what the ##| g_j\rangle_n## stand for.
 
Printed page of text describing the DLCZ protocol, which uses atomic ensembles of three-level systems to emit single photons and create stored atomic excitations for entanglement.
Typeset text and Equation (1): a normalised coherent superposition sum from k=1 to N_A of e^{i(k_w - k_S)x_k} times the product of ground states |g1> ... |g2>_k ... |g1>_{N_A}, followed by surrounding explanatory text.
Two-panel energy level diagram of a Raman quantum memory: left, write process with write pulse exciting atoms from |g1> to detuned level |e> (detuning Delta) and emitting a Stokes photon as atoms drop to |g2>; right, read process with read pulse driving |g2> to |e> and an anti-Stokes photon emitted back to |g1>.
 
Attachments
  • Printed page of text describing the DLCZ protocol, which uses atomic ensembles of three-level systems to emit single photons and create stored atomic excitations for entanglement.
    upload_2018-6-4_17-4-27.png
    80.9 KB · Views: 561
  • Typeset text and Equation (1): a normalised coherent superposition sum from k=1 to N_A of e^{i(k_w - k_S)x_k} times the product of ground states |g1> ... |g2>_k ... |g1>_{N_A}, followed by surrounding explanatory text.
    upload_2018-6-4_17-4-54.png
    27.5 KB · Views: 586
  • Two-panel energy level diagram of a Raman quantum memory: left, write process with write pulse exciting atoms from |g1> to detuned level |e> (detuning Delta) and emitting a Stokes photon as atoms drop to |g2>; right, read process with read pulse driving |g2> to |e> and an anti-Stokes photon emitted back to |g1>.
    upload_2018-6-4_17-5-14.png
    10.6 KB · Views: 572
Nicolas Sangouard, Christoph Simon, Hugues de Riedmatten, and Nicolas Gisin
"Quantum repeaters based on atomic ensembles and linear optics",
Rev. Mod. Phys. 83, 33 – Published 21 March 2011
 
meyol99 said:
Nicolas Sangouard, Christoph Simon, Hugues de Riedmatten, and Nicolas Gisin
"Quantum repeaters based on atomic ensembles and linear optics",
Rev. Mod. Phys. 83, 33 – Published 21 March 2011

Here it is:

https://arxiv.org/abs/0906.2699