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- Publisher Website: 10.1103/PhysRevB.76.045312
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Article: Semiclassical dynamics and long-time asymptotics of the central-spin problem in a quantum dot
Title | Semiclassical dynamics and long-time asymptotics of the central-spin problem in a quantum dot |
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Authors | |
Issue Date | 2007 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ |
Citation | Physical Review B (Condensed Matter and Materials Physics), 2007, v. 76 n. 4, article no. 045312 How to Cite? |
Abstract | The spin of an electron trapped in a quantum dot is a promising candidate implementation of a qubit for quantum information processing. We study the central-spin problem of the effect of the hyperfine interaction between such an electron and a large number of nuclear moments. Using a spin coherent path integral, we show that in this limit the electron spin evolution is well described by classical dynamics of both the nuclear and electron spins. We then introduce approximate yet systematic methods to analyze aspects of the classical dynamics, and discuss the importance of the exact integrability of the central-spin Hamiltonian. This is compared with numerical simulation. Finally, we obtain the asymptotic long-time decay of the electron spin polarization. We show that this is insensitive to integrability, and determined instead by the transfer of angular momentum to very weakly coupled spins far from the center of the quantum dot. The specific form of the decay is shown to depend sensitively on the form of the electronic wave function. © 2007 The American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/266111 |
ISSN | 2014 Impact Factor: 3.736 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chen, Gang | - |
dc.contributor.author | Bergman, Doron L. | - |
dc.contributor.author | Balents, Leon | - |
dc.date.accessioned | 2018-12-27T01:58:52Z | - |
dc.date.available | 2018-12-27T01:58:52Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | Physical Review B (Condensed Matter and Materials Physics), 2007, v. 76 n. 4, article no. 045312 | - |
dc.identifier.issn | 1098-0121 | - |
dc.identifier.uri | http://hdl.handle.net/10722/266111 | - |
dc.description.abstract | The spin of an electron trapped in a quantum dot is a promising candidate implementation of a qubit for quantum information processing. We study the central-spin problem of the effect of the hyperfine interaction between such an electron and a large number of nuclear moments. Using a spin coherent path integral, we show that in this limit the electron spin evolution is well described by classical dynamics of both the nuclear and electron spins. We then introduce approximate yet systematic methods to analyze aspects of the classical dynamics, and discuss the importance of the exact integrability of the central-spin Hamiltonian. This is compared with numerical simulation. Finally, we obtain the asymptotic long-time decay of the electron spin polarization. We show that this is insensitive to integrability, and determined instead by the transfer of angular momentum to very weakly coupled spins far from the center of the quantum dot. The specific form of the decay is shown to depend sensitively on the form of the electronic wave function. © 2007 The American Physical Society. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ | - |
dc.relation.ispartof | Physical Review B (Condensed Matter and Materials Physics) | - |
dc.title | Semiclassical dynamics and long-time asymptotics of the central-spin problem in a quantum dot | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevB.76.045312 | - |
dc.identifier.scopus | eid_2-s2.0-34447338344 | - |
dc.identifier.volume | 76 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | article no. 045312 | - |
dc.identifier.epage | article no. 045312 | - |
dc.identifier.eissn | 1550-235X | - |
dc.identifier.isi | WOS:000248540000065 | - |
dc.identifier.issnl | 1098-0121 | - |