The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Quantum theory of a free particle interacting with a linearly dissipative environment
Abstract
The quantum-mechanical motion of a free particle coupled to a linearly dissipative environment is analyzed in the Hamiltonian formalism. The total Hamiltonian is diagonalized and its eigenstates displayed. These results are used to discuss the role of initial conditions on the subsequent motion. A widely used initial condition---heat bath uncoupled from particle---is compared with another one in which the initial off-diagonal coherence of the reduced density matrix is comparable to that in the state of thermal equilibrium of the coupled system. Different transient behaviors, on time scales longer than the inverse cutoff frequency of the bath are found. The mean-square momentum of the particle in the steady state is found to depend on this highest bath frequency. An analysis of the correlated states of particle and heat reservoir shows that the latter behaves in some sense like a position-measuring apparatus.
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Citations
Cites
Quantum Mechanics and Path Integrals
(1966) · Students Quarterly Journal · doi:10.1049/sqj.1966.0063 · Cited by 9,537
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Quantum tunnelling in a dissipative system
Caldeira, A. O., & Leggett, A. J. (1983) · Annals of Physics · doi:10.1016/0003-4916(83)90202-6 · Cited by 3,647
The theory of a general quantum system interacting with a linear dissipative system
Feynman, R. P., & Vernon, F. L. (1963) · Annals of Physics · doi:10.1016/0003-4916(63)90068-x · Cited by 2,887
Influence of Dissipation on Quantum Tunneling in Macroscopic Systems
Caldeira, A. O., & Leggett, A. J. (1981) · Physical Review Letters · doi:10.1103/physrevlett.46.211 · Cited by 2,258
Diffusion and Localization in a Dissipative Quantum System
Schmid, A. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.1506 · Cited by 569
Quantum Dynamics of Tunneling between Superconductors
Ambegaokar, V., Eckern, U., & Schön, G. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.1745 · Cited by 445
Self-citationDynamics of the Two-State System with Ohmic Dissipation
Chakravarty, S., & Leggett, A. J. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.5 · Cited by 373
Quantum dynamics of a superconducting tunnel junction
Eckern, U., Schön, G., & Ambegaokar, V. (1984) · Physical Review B · doi:10.1103/physrevb.30.6419 · Cited by 355
Self-citationQuantum tunneling in the presence of an arbitrary linear dissipation mechanism
Leggett, A. J. (1984) · Physical Review B · doi:10.1103/physrevb.30.1208 · Cited by 300
Cited by
Unified dynamics for microscopic and macroscopic systems
Ghirardi, G. C., Rimini, A., & Weber, T. (1986) · Physical Review D · doi:10.1103/physrevd.34.470 · Cited by 2,798
Hu, B. L., Paz, J. P., & Zhang, Y. (1992) · Physical Review D · doi:10.1103/physrevd.45.2843 · Cited by 996
Reduction of a wave packet in quantum Brownian motion
Unruh, W. G., & Zurek, W. H. (1989) · Physical Review D · doi:10.1103/physrevd.40.1071 · Cited by 599
Kraus representation in the presence of initial correlations
Hayashi, H., Kimura, G., & Ota, Y. (2003) · Physical Review A · doi:10.1103/physreva.67.062109 · Cited by 53
Metadata
- Authors
- Hakim, V., & Ambegaokar, V.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1985-07-01
- Volume
- 32
- Issue
- 1
- Pages
- 423-434
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2092403627
- Cited by
- 309
- References
- 12
- FWCI
- 5.72
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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