We derive the semi-classical Lindblad master equation in phase space for both canonical and non-canonical Poisson brackets using the Wigner-Moyal formalism and the Moyal star-product. The semi-classical limit for canonical dynamical variables, i. e., canonical Poisson brackets, is the Fokker-Planck equation, as derived before. We generalize this limit and show that it holds also for non-canonical Poisson brackets. Examples are gyro-Poisson brackets, which occur in spin ensembles, systems of recent interest in atomic physics and quantum optics. We show that the equations of motion for the collective spin variables are given by the Bloch equations of nuclear magnetization with relaxation. The Bloch and relaxation vectors are expressed in terms of the microscopic operators: The Hamiltonian and the Lindblad functions in the Wigner-Moyal formalism.
J Dubois, U Saalmann & J-M Rost
(2021)
S Kumar Giri, L Alonso, U Saalmann & J-M Rost
(2020)
U Saalmann & J-M Rost
Phys. Rev. Lett. 125, 113202 (2020)
Z Wang, A Camacho-Garibay, H Park, U Saalmann, P Agostini, J-M Rost, and L F DiMauro
Phys. Rev. Lett. 124, 173201 (2020)
S Kumar Giri, U Saalmann & J-M Rost
Phys. Rev. Lett. 124, 113201 (2020)
J-M Rost & U Saalmann
Nat. Phot. 13, 439 (2019)
L Medišauskas, U Saalmann & J-M Rost
J. Phys. B 52, 015602 (2019)
V A Tulsky, M Baghery, U Saalmann & S V Popruzhenko
Phys. Rev. A 98, 053415 (2018)
U Saalmann, S Kumar Giri & J-M Rost
Phys. Rev. Lett. 121, 153203 (2018)
H Ni, U Saalmann & J-M Rost
Phys. Rev. A 97, 013426 (2018)
Q-C Ning, U Saalmann & J-M Rost
Phys. Rev. Lett. 120, 033203 (2018)
U Saalmann & J-M Rost
(2018)
S Kumar Giri, U Saalmann & J-M Rost
J. Mod. Opt. 64, 1004 (2017)
M Baghery, U Saalmann & J-M Rost
Phys. Rev. Lett. 118, 143202 (2017)
J B Williams, U Saalmann, F Trinter, M Weller, M S Schöffler, P Burzynski, C Goihl, K Henrichs, C Janke, B Griffin, G Kastirke, J Neff, M Pitzer, M Waitz, Y Yang, S Zeller, T Jahnke & R Dörner
J. Phys. B 50 034002 (2017)
H Ni, U Saalmann & J-M Rost
Phys. Rev. Lett. 117, 023002 (2016)
A Croy & U Saalmann
Phys. Rev. B 93, 165428 (2016)
E Diesen, U Saalmann, M Richter, M Kunitski, R Dörner & J-M Rost
Phys. Rev. Lett. 116, 143006 (2016)
K Zhang, Y-H Lai, E Diesen, B E Schmidt, C I Blaga, J Xu, T T Gorman, F Légaré, U Saalmann, P Agostini, J-M Rost & L F Di Mauro
Phys. Rev. A 93, 021403(R) (2016)
M Winter, U Saalmann & J-M Rost
Opt. Express 24, 3672 (2016)
A Camacho Garibay, U Saalmann & J-M Rost
J. Phys. B 48 174003 (2015)
K Toyota, U Saalmann & J-M Rost
New J. Phys. 17, 073005 (2015)
A Camacho Garibay, U Saalmann & J-M Rost
Phys. Rev. Lett. 113, 083001 (2014)
J Herrmann, M Weger, R Locher, M Sabbar, P Rivière,
U Saalmann, J-M Rost, L Gallmann & U Keller
Phys. Rev. A 88, 043843 (2013)
P Di Cintio, U Saalmann & J-M Rost
Phys. Rev. Lett. 111, 123401 (2013)
R Guichard, M Richter, J-M Rost, U Saalmann, A A Sorokin & K Tiedtke
J. Phys. B 46, 164025 (2013)
U Saalmann, A Mikaberidze & J-M Rost
Phys. Rev. Lett. 110, 133401 (2013)
Ch Gnodtke, U Saalmann & J-M Rost
Chem. Phys. 414, 65 (2013)
A Croy & U Saalmann
Phys. Rev. B 86, 035330 (2012)
V Averbukh, U Saalmann & J-M Rost
Phys. Rev. A 85, 063405 (2012)
Ch Gnodtke, U Saalmann & J-M Rost
Phys. Rev. Lett. 108, 175003 (2012)
A Kästner, U Saalmann & J-M Rost
J. Phys. B 45, 074011 (2012)
A Kästner, U Saalmann & J-M Rost
Phys. Rev. Lett. 108, 033201 (2012)
A Croy, U Saalmann, A R Hernández & C H Lewenkopf
Phys. Rev. B 85, 035309 (2012)
M Grech, R Nuter, A Mikaberidze, P Di Cintio, L Gremillet, E Lefebvre,
U Saalmann, J-M Rost & S Skupin
Phys. Rev. E 84, 056404 (2011)
S R Krishnan, L Fechner, M Kremer, V Sharma, B Fischer, N Camus, J Jha, M Krishnamurthy, T Pfeifer, R Moshammer, J Ullrich, F Stienkemeier, M Mudrich, A Mikaberidze, U Saalmann & J-M Rost
Phys. Rev. Lett. 107, 173402 (2011)
V Strelkov, U Saalmann, A Becker & J-M Rost
Phys. Rev. Lett. 107, 113901 (2011)
A Croy & U Saalmann
New J. Phys. 13, 043015 (2011)
A Croy & U Saalmann
arxiv.1103.0185 (2011)
Ch Gnodtke, U Saalmann & J-M Rost
New J. Phys. 13, 013028 (2011)
U Saalmann
J. Phys. B 43, 194012 (2010)
Ch Bostedt, H Thomas, M Hoener, T Möller,
U Saalmann, I Georgescu, Ch Gnodtke & J-M Rost
New J. Phys. 12, 083004 (2010)
V Averbukh, U Saalmann & J-M Rost
Phys. Rev. Lett. 104, 233002 (2010)
M De Menech, U Saalmann & M E Garcia
phys. stat. sol. (b) 247, 1095 (2010)
A Croy and U Saalmann
Phys. Rev. B 80, 245311 (2009)
A Croy and U Saalmann
Phys. Rev. B 80, 073102 (2009)
U Saalmann and J-M Rost
Physik-Journal Juni (2009)
P Rivière, O Uhden, U Saalmann and J-M Rost
New J. Phys. 11, 053011 (2009)
Ch Gnodtke, U Saalmann & J-M Rost
Phys. Rev. A 79, 041201 (R) (2009)
A Mikaberidze, U Saalmann & J-M Rost
Phys. Rev. Lett. 102, 128102 (2009)
U Saalmann
Las. Phys. 19, 202 (2009)
A Mikaberidze, U Saalmann & J-M Rost
Phys. Rev. A 77, (R) 041201 (2008)
U Saalmann & J-M Rost
Phys. Rev. Lett. 100, 133006 (2008)
S E Baltazar, M De Menech, U Saalmann, A H Romero & M E Garcia
J. Appl. Phys. 103, 023714 (2008)
U Saalmann, I Georgescu & J-M Rost
New J. Phys. 10, 025014 (2008)
I Georgescu, U Saalmann & J-M Rost
Phys. Rev. Lett. 99, 183002 (2007)
I Georgescu, U Saalmann & J-M Rost
Phys. Rev. A 76, 043203 (2007)
M De Menech, U Saalmann & M E Garcia
New J. Phys. 9, 340 (2007)
I Georgescu, U Saalmann, Ch Siedschlag & J-M Rost
Progress in Ultrafast Laser Science (2007)
H Hövel, M De Menech, M Bödecker, Ch Rettig, U Saalmann & M E Garcia
Eur. J. Phys. D (2007)
Md R Islam, U Saalmann & J-M Rost
Phys. Rev. A 73, (R) 041201 (2006)
M De Menech, U Saalmann & M E Garcia
Phys. Rev. 73, 155407 (2006)
U Saalmann, Ch Siedschlag & J-M Rost
J. Phys. B 39, R 39 (2006)
U Saalmann
J. Mod. Opt. 53, 173 (2006)
M De Menech, U Saalmann & M E Garcia
Appl. Phys. A 82, 113 (2006)
Md R Islam & U Saalmann
Lecture Series on Computer and Computational Sciences 4, 1142 (2005)
U Saalmann & J-M Rost
Eur. Phys. J. D 36, 159 (2005)
U Saalmann & J-M Rost
Phys. Rev. Lett. 91, 223401 (2003)
B Zarour & U Saalmann
Nucl. Instr. and Meth. B 205, 610 (2003)
U Saalmann & J-M Rost
Phys. Rev. Lett. 89, 143401 (2002)
M Ehrich, U Werner, H O Lutz, T Kaneyasu, K Ishii, K Okuno & U Saalmann
Phys. Rev. A 65, (R) 030702 (2002)
A Staudte, C L Cocke, M H Prior, A Belkacem, C Ray, H H W Chong,
T E Glover, R W Schoenlein & U Saalmann
Phys. Rev. A 65, (R) 020703 (2002)
U Saalmann
Adv. Quant. Chem. 40, 305 (2001)
F Grossmann, U Saalmann & R Schmidt
Ann. Phys. (Leipzig) 9, 785 (2000)
O Knospe, J Jellinek, U Saalmann & R Schmidt
Phys. Rev. A 61, 022715 (2000)
Z Roller-Lutz, Y Wang, H O Lutz, U Saalmann & R Schmidt
Phys. Rev. A 59, R 2555 (1999)
O Knospe, J Jellinek, U Saalmann & R Schmidt
Eur. Phys. J. D 5, 1 (1999)
U Saalmann & R Schmidt
Phys. Rev. Lett. 80, 3213 (1998)
J A Fayeton, M Barat, J C Brenot, H Dunet, Y Picard, U Saalmann & R Schmidt
Phys. Rev. A 57, 1058 (1998)
R Schmidt, O Knospe & U Saalmann
Il Nuov. Cim. 110 A 1201 (1997)
U Saalmann & R Schmidt
Z. Phys. D. 38, 153 (1996)
R Kaschner, U Saalmann, G Seifert & M Gausa
Int. J. Quant. Chem. 56, 771 (1995)
U Saalmann & R Hayn
phys. stat. sol. 168, 605 (1991)