166
R. Röhlsberger and J. Evers
30. R.H. Dicke, Coherence in spontaneous radiation processes. Phys. Rev. 93, 99–110 (1954)
31. R. Friedberg, S.R. Hartmann, J.T. Manassah, Frequency shifts in emission and absorption by
resonant systems ot two-level atoms. Phys. Reports 7, 101–179 (1973)
32. R. Wiegner, J. von Zanthier, G.S. Agarwal, Quantum-interference-initiated superradiant and
subradiant emission from entangled atoms. Phys. Rev. A 84, 023805 (2011)
33. A.I. Lvovsky, B.C. Sanders, W. Tittel, Optical quantum memory. Nature Photon. 3, 706 (2009)
34. M. Sarovar, A. Ishizaki, G.R. Fleming, K.B. Whaley, Quantum entanglement in photosynthetic
light-harvesting complexes. Nature Phys. 6, 462 (2010)
35. K.P. Heeg, J. Evers, X-ray quantum optics with Mössbauer nuclei embedded in thin-film
cavities. Phys. Rev. A 88, 043828 (2013)
36. K.P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H.-C. Wille, K.S. Schulze, R. Loetzsch, I.
Uschmann, G.G. Paulus, R. Rüffer, R. Röhlsberger, J. Evers, Tunable subluminal propagation
of narrow-band x-ray pulses. Phys. Rev. Lett. 114, 203601 (2015)
37. K.P. Heeg, J. Evers, Collective effects between multiple nuclear ensembles in an x-ray cavityQED setup. Phys. Rev. A 91, 063803 (2015)
38. J. Haber, K.S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H.C.
Wille, R. Rüffer, I. Uschmann, G.G. Paulus, R. Röhlsberger, Collective strong coupling of
x-rays and nuclei in a nuclear optical lattice. Nature Photon. 10, 445 (2016)
39. J. Haber, X. Kong, C. Strohm, S. Willing, J. Gollwitzer, L. Bocklage, R. Rüffer, A. Pálffy,
R. Röhlsberger, Rabi oscillations of x-ray radiation between two nuclear ensembles. Nature
Photon. 11, 720–725 (2017)
40. D. Lentrodt, K.P. Heeg, C.H. Keitel, Jörg Evers, Ab initio quantum models for thin-film x-ray
cavity QED. Phys. Rev. Res. 2, 023396 (2020)
41. M.O. Scully, Collective Lamb shift in single photon Dicke superradiance. Phys. Rev. Lett.
102, 143601 (2009)
42. R. Friedberg, J.T. Manassah, Cooperative Lamb shift and the cooperative decay rate for an
initially detuned phased state. Phys. Rev. A 81, 043845 (2010)
43. J.T. Manassah, Cooperative radiation from atoms in different geometries: decay rate and
frequency shift. Adv. Opt. Photon. 4, 108–156 (2012)
44. J. Ruostekoski, J. Javanainen, Emergence of correlated optics in one-dimensional waveguides
for classical and quantum atomic gases. Phys. Rev. Lett. 117, 143602 (2016)
45. J. Keaveney, A. Sargsyan, U. Krohn, I.G. Hughes, D. Sarkisyan, C.S. Adams, Cooperative
Lamb shift in an atomic vapor layer of nanometer thickness. Phys. Rev. Lett. 108, 173601
(2012)
46. Z. Meir, O. Schwartz, E. Shahmoon, D. Oron, R. Ozeri, Cooperative Lamb shift in a mesoscopic atomic array. Phys. Rev. Lett. 113, 193002 (2014)
47. S.J. Roof, K.J. Kemp, M.D. Havey, I.M. Sokolov, Observation of single-photon superradiance
and the cooperative Lamb shift in an extended sample of cold atoms. Phys. Rev. Lett. 117,
073003 (2016)
48. T. Peyrot, Y.R.P. Sortais, A. Browaeys, A. Sargsyan, D. Sarkisyan, J. Keaveney, I.G. Hughes,
C.S. Adams, Collective Lamb shift of a nanoscale atomic vapor layer within a sapphire cavity.
Phys. Rev. Lett. 120, 243401 (2018)
49. N. Auerbach, V. Zelevinsky, Super-radiant dynamics, doorways and resonances in nuclei and
other open mesoscopic systems. Reports Progr. Phys. 74, 106301 (2011)
50. U. van Bürck, Coherent pulse propagation through resonant media. Hyperfine Interactions
123(124), 483–509 (1999)
51. E. Gerdau, R. Rüffer, H. Winkler, W. Tolksdorf, C.P. Klages, J.P. Hannon, Nuclear Bragg
diffraction of synchrotron radiation in yttrium iron garnet. Phys. Rev. Lett. 54, 835–838
(1985)
52. J.B. Hastings, D.P. Siddons, U. van Bürck, R. Hollatz, U. Bergmann, Mössbauer spectroscopy
using synchrotron radiation. Phys. Rev. Lett. 66, 770–773 (1991)
53. E. Gerdau, H. de Waard (eds.), Nuclear resonant scattering of synchrotron radiation, part A,
in Hyperfine Interactions, vol. 123/124 (Springer, 1999)
R. Röhlsberger and J. Evers
30. R.H. Dicke, Coherence in spontaneous radiation processes. Phys. Rev. 93, 99–110 (1954)
31. R. Friedberg, S.R. Hartmann, J.T. Manassah, Frequency shifts in emission and absorption by
resonant systems ot two-level atoms. Phys. Reports 7, 101–179 (1973)
32. R. Wiegner, J. von Zanthier, G.S. Agarwal, Quantum-interference-initiated superradiant and
subradiant emission from entangled atoms. Phys. Rev. A 84, 023805 (2011)
33. A.I. Lvovsky, B.C. Sanders, W. Tittel, Optical quantum memory. Nature Photon. 3, 706 (2009)
34. M. Sarovar, A. Ishizaki, G.R. Fleming, K.B. Whaley, Quantum entanglement in photosynthetic
light-harvesting complexes. Nature Phys. 6, 462 (2010)
35. K.P. Heeg, J. Evers, X-ray quantum optics with Mössbauer nuclei embedded in thin-film
cavities. Phys. Rev. A 88, 043828 (2013)
36. K.P. Heeg, J. Haber, D. Schumacher, L. Bocklage, H.-C. Wille, K.S. Schulze, R. Loetzsch, I.
Uschmann, G.G. Paulus, R. Rüffer, R. Röhlsberger, J. Evers, Tunable subluminal propagation
of narrow-band x-ray pulses. Phys. Rev. Lett. 114, 203601 (2015)
37. K.P. Heeg, J. Evers, Collective effects between multiple nuclear ensembles in an x-ray cavityQED setup. Phys. Rev. A 91, 063803 (2015)
38. J. Haber, K.S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H.C.
Wille, R. Rüffer, I. Uschmann, G.G. Paulus, R. Röhlsberger, Collective strong coupling of
x-rays and nuclei in a nuclear optical lattice. Nature Photon. 10, 445 (2016)
39. J. Haber, X. Kong, C. Strohm, S. Willing, J. Gollwitzer, L. Bocklage, R. Rüffer, A. Pálffy,
R. Röhlsberger, Rabi oscillations of x-ray radiation between two nuclear ensembles. Nature
Photon. 11, 720–725 (2017)
40. D. Lentrodt, K.P. Heeg, C.H. Keitel, Jörg Evers, Ab initio quantum models for thin-film x-ray
cavity QED. Phys. Rev. Res. 2, 023396 (2020)
41. M.O. Scully, Collective Lamb shift in single photon Dicke superradiance. Phys. Rev. Lett.
102, 143601 (2009)
42. R. Friedberg, J.T. Manassah, Cooperative Lamb shift and the cooperative decay rate for an
initially detuned phased state. Phys. Rev. A 81, 043845 (2010)
43. J.T. Manassah, Cooperative radiation from atoms in different geometries: decay rate and
frequency shift. Adv. Opt. Photon. 4, 108–156 (2012)
44. J. Ruostekoski, J. Javanainen, Emergence of correlated optics in one-dimensional waveguides
for classical and quantum atomic gases. Phys. Rev. Lett. 117, 143602 (2016)
45. J. Keaveney, A. Sargsyan, U. Krohn, I.G. Hughes, D. Sarkisyan, C.S. Adams, Cooperative
Lamb shift in an atomic vapor layer of nanometer thickness. Phys. Rev. Lett. 108, 173601
(2012)
46. Z. Meir, O. Schwartz, E. Shahmoon, D. Oron, R. Ozeri, Cooperative Lamb shift in a mesoscopic atomic array. Phys. Rev. Lett. 113, 193002 (2014)
47. S.J. Roof, K.J. Kemp, M.D. Havey, I.M. Sokolov, Observation of single-photon superradiance
and the cooperative Lamb shift in an extended sample of cold atoms. Phys. Rev. Lett. 117,
073003 (2016)
48. T. Peyrot, Y.R.P. Sortais, A. Browaeys, A. Sargsyan, D. Sarkisyan, J. Keaveney, I.G. Hughes,
C.S. Adams, Collective Lamb shift of a nanoscale atomic vapor layer within a sapphire cavity.
Phys. Rev. Lett. 120, 243401 (2018)
49. N. Auerbach, V. Zelevinsky, Super-radiant dynamics, doorways and resonances in nuclei and
other open mesoscopic systems. Reports Progr. Phys. 74, 106301 (2011)
50. U. van Bürck, Coherent pulse propagation through resonant media. Hyperfine Interactions
123(124), 483–509 (1999)
51. E. Gerdau, R. Rüffer, H. Winkler, W. Tolksdorf, C.P. Klages, J.P. Hannon, Nuclear Bragg
diffraction of synchrotron radiation in yttrium iron garnet. Phys. Rev. Lett. 54, 835–838
(1985)
52. J.B. Hastings, D.P. Siddons, U. van Bürck, R. Hollatz, U. Bergmann, Mössbauer spectroscopy
using synchrotron radiation. Phys. Rev. Lett. 66, 770–773 (1991)
53. E. Gerdau, H. de Waard (eds.), Nuclear resonant scattering of synchrotron radiation, part A,
in Hyperfine Interactions, vol. 123/124 (Springer, 1999)