Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Applied Sciences

Particle in a Finite Potential Well, with Dissipation

O. Abu-Haija ., A. A. Mahasneh, Ali A. Taani, A-W. Ajloun .

Published Jun 1, 2007• 1 citation
Publisher
DOI
10.3923/jas.2007.1669.1673

Related papers

Quantum ohmic dissipation : particle in an asymmetric double-well potential

Claude Aslangul, No�lle Pottier, Daniel Saint-James

The real-time dynamics of a particle in a slightly asymmetric double-well potential in the presence of ohmic dissipation is analysed by using standard quantum-statistical methods. At zero temperature, the particle eventually goes towards the lower potential well; the relaxation has an overall exponential character with possibly small oscillations; at finite temperature, the particle thermalizes over the two wells; two successive exponential regimes are observed in this case. The results about the final average position of the particle agree with the detailed balance principle and are in fact independent of the ohmic assumption. For an ohmic dissipation law, the localization phenomenon which occurs in the perfectly symmetric double-well potential at zero temperature disappears when an asymmetry is present, although a precursor behaviour is displayed for very low values of the asymmetry.

Journal de physique•Jan 1, 1986•28 citations

Particles Encountering a Finite Potential Energy

Kluwer Academic Publishers eBooks•Dec 16, 2005•0 citations

Particle in a Box with Dissipation

Abdul-Wali Ajlouni, B.R. Joudeh, B. Salameh

Journal of Applied Sciences•Apr 15, 2007•3 citations

Phase diagram of the dissipative quantum particle in a box

J. Sabio, L. Borda, F. Guinea +1 more

We analyze the phase diagram of a quantum particle confined to a finite chain and subjected to a dissipative environment described by an ohmic spectral function. Analytical and numerical techniques are employed to explore both the perturbative and nonperturbative regimes of the model. For small dissipation of the coupling to the environment leads to a narrowing of the density distribution and to a displacement toward the center of the array of accessible sites. For large values of the dissipation, we find a phase transition to a doubly degenerate phase, which reflects the formation of an inhomogeneous effective potential within the array.

arXiv:0711.1325•Physical Review B•Aug 28, 2008•4 citations

Aharonov-Bohm oscillations of a particle coupled to dissipative environments

F. Guinea

The amplitude of the Bohm-Aharonov oscillations of a particle moving around a ring threaded by a magnetic flux and coupled to different dissipative environments is studied. The decay of the oscillations on increasing the radius of the ring is shown to depend on the spatial features of the coupling. When the environment is modeled by the Caldeira-Leggett bath of oscillators, interference effects are suppressed beyond a finite length, even at zero temperature. A nontrivial renormalization of the Aharonov-Bohm oscillations is also found when the particle is coupled by the Coulomb potential to a dirty electron gas. A finite renormalization of the Aharonov-Bohm oscillations is obtained for other models of the environment.

arXiv:cond-mat/0112099•Physical review. B, Condensed matter•May 14, 2002•38 citations

A three-dimensional particle in a potential field

Lyudvig Dmitrievich Faddeev, O. Yakubovskiĭ

Student mathematical library•Mar 9, 2009•0 citations
The real-time dynamics of a particle in a slightly asymmetric double-well potential in the presence of ohmic dissipation is analysed by using standard quantum-statistical methods. At zero temperature, the particle eventually goes towards the lower potential well; the relaxation has an overall exponential character with possibly small oscillations; at finite temperature, the particle thermalizes over the two wells; two successive exponential regimes are observed in this case. The results about the final average position of the particle agree with the detailed balance principle and are in fact independent of the ohmic assumption. For an ohmic dissipation law, the localization phenomenon which occurs in the perfectly symmetric double-well potential at zero temperature disappears when an asymmetry is present, although a precursor behaviour is displayed for very low values of the asymmetry.
We analyze the phase diagram of a quantum particle confined to a finite chain and subjected to a dissipative environment described by an ohmic spectral function. Analytical and numerical techniques are employed to explore both the perturbative and nonperturbative regimes of the model. For small dissipation of the coupling to the environment leads to a narrowing of the density distribution and to a displacement toward the center of the array of accessible sites. For large values of the dissipation, we find a phase transition to a doubly degenerate phase, which reflects the formation of an inhomogeneous effective potential within the array.
The amplitude of the Bohm-Aharonov oscillations of a particle moving around a ring threaded by a magnetic flux and coupled to different dissipative environments is studied. The decay of the oscillations on increasing the radius of the ring is shown to depend on the spatial features of the coupling. When the environment is modeled by the Caldeira-Leggett bath of oscillators, interference effects are suppressed beyond a finite length, even at zero temperature. A nontrivial renormalization of the Aharonov-Bohm oscillations is also found when the particle is coupled by the Coulomb potential to a dirty electron gas. A finite renormalization of the Aharonov-Bohm oscillations is obtained for other models of the environment.