Iterative algorithm versus analytic solutions of the parametrically driven dissipative quantum harmonic oscillator

We consider the Brownian motion of a quantum-mechanical particle in a one-dimensional parabolic potential with periodically modulated curvature under the influence of a thermal heat bath. Analytic expressions for the time-dependent position and momentum variances are compared with results of an iter...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. - 1993. - 62(2000), 4 Pt B vom: 27. Okt., Seite 5808-17
1. Verfasser: Thorwart (VerfasserIn)
Weitere Verfasser: Reimann, Hanggi
Format: Aufsatz
Sprache:English
Veröffentlicht: 2000
Zugriff auf das übergeordnete Werk:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Schlagworte:Journal Article
LEADER 01000caa a22002652 4500
001 NLM110046048
003 DE-627
005 20250202085651.0
007 tu
008 231222s2000 xx ||||| 00| ||eng c
028 5 2 |a pubmed25n0367.xml 
035 |a (DE-627)NLM110046048 
035 |a (NLM)11089141 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a Thorwart  |e verfasserin  |4 aut 
245 1 0 |a Iterative algorithm versus analytic solutions of the parametrically driven dissipative quantum harmonic oscillator 
264 1 |c 2000 
336 |a Text  |b txt  |2 rdacontent 
337 |a ohne Hilfsmittel zu benutzen  |b n  |2 rdamedia 
338 |a Band  |b nc  |2 rdacarrier 
500 |a Date Revised 20.11.2019 
500 |a published: Print 
500 |a Citation Status PubMed-not-MEDLINE 
520 |a We consider the Brownian motion of a quantum-mechanical particle in a one-dimensional parabolic potential with periodically modulated curvature under the influence of a thermal heat bath. Analytic expressions for the time-dependent position and momentum variances are compared with results of an iterative algorithm, the so-called quasiadiabatic propagator path-integral algorithm. We obtain good agreement over an extended range of parameters for this spatially continuous quantum system. These findings indicate the reliability of the algorithm also in cases for which analytic results may not be available a priori 
650 4 |a Journal Article 
700 1 |a Reimann  |e verfasserin  |4 aut 
700 1 |a Hanggi  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  |d 1993  |g 62(2000), 4 Pt B vom: 27. Okt., Seite 5808-17  |w (DE-627)NLM098226002  |x 1063-651X  |7 nnns 
773 1 8 |g volume:62  |g year:2000  |g number:4 Pt B  |g day:27  |g month:10  |g pages:5808-17 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 62  |j 2000  |e 4 Pt B  |b 27  |c 10  |h 5808-17