%0 Journal Article %1 Wasserman2008 %A Wasserman, Adam %A Maitra, Neepa T. %A Heller, Eric J. %D 2008 %J PHYSICAL REVIEW A %K imported %N 4 %P 042503 %R 10.1103/PhysRevA.77.042503 %T Investigating interaction-induced chaos using time-dependent density-functional theory %V 77 %X Systems whose underlying classical dynamics are chaotic exhibit signatures of the chaos in their quantum mechanics. We investigate the possibility of using the linear response formalism of time-dependent density functional theory (TDDFT) to study the case when chaos is induced by electron-interaction alone. Nearest-neighbor level-spacing statistics are in principle exactly and directly accessible from TDDFT. We discuss how the TDDFT linear response procedure can reveal information about the mechanism of chaos induced by electron-interaction alone. A simple model of a two-electron quantum dot highlights the necessity to go beyond the adiabatic approximation in TDDFT.

@article{Wasserman2008, abstract = {Systems whose underlying classical dynamics are chaotic exhibit signatures of the chaos in their quantum mechanics. We investigate the possibility of using the linear response formalism of time-dependent density functional theory (TDDFT) to study the case when chaos is induced by electron-interaction alone. Nearest-neighbor level-spacing statistics are in principle exactly and directly accessible from TDDFT. We discuss how the TDDFT linear response procedure can reveal information about the mechanism of chaos induced by electron-interaction alone. A simple model of a two-electron quantum dot highlights the necessity to go beyond the adiabatic approximation in TDDFT.}, added-at = {2010-01-22T12:15:18.000+0100}, article-number = {042503}, author = {Wasserman, Adam and Maitra, Neepa T. and Heller, Eric J.}, biburl = {https://www.bibsonomy.org/bibtex/286402f7f467a9a0b5ed96ad59de2c652/myrta}, description = {Time dependent density functional theory; Memory effects kernel; breakdown adiabatic approximation}, doi = {10.1103/PhysRevA.77.042503}, file = {:home/cfc/myrta/VirtualLibrary/MemoryKernel/PhysRevA_77_042503.pdf:PDF}, interhash = {c8ce1411a35ece8b800a74222807b440}, intrahash = {86402f7f467a9a0b5ed96ad59de2c652}, issn = {1050-2947}, journal = {PHYSICAL REVIEW A}, keywords = {imported}, keywords-plus = {COMPLEX ATOMIC SPECTRA; ENERGY-LEVELS; STATISTICAL PROPERTIES; INTEGER DISCONTINUITY; EXCITATION-ENERGIES; LINEAR-RESPONSE; EXCHANGE; SYSTEMS; STATES; FLUCTUATIONS}, month = APR, number = 4, owner = {myrta}, pages = 042503, times-cited = {1}, timestamp = {2010-01-22T12:15:23.000+0100}, title = {Investigating interaction-induced chaos using time-dependent density-functional theory}, unique-id = {ISI:000255457100065}, volume = 77, year = 2008 }