# Modified Bloch equations in the presence of a nonstationary bath

@article{Chaudhuri1999ModifiedBE, title={Modified Bloch equations in the presence of a nonstationary bath}, author={Jyotipratim Ray Chaudhuri and Suman K. Banik and Bimalendu Deb and Deb Shankar Ray}, journal={The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics}, year={1999}, volume={6}, pages={415-424} }

Abstract:Based on the system-reservoir description, we propose a simple solvable microscopic model for a nonequilibrium bath. This captures the essential features of a nonstationary quantum Markov process. We establish an appropriate generalization of the fluctuation-dissipation relation pertaining to this process and explore the essential modifications of the Bloch equations to reveal the nonexponential decay of the Bloch vector components and transient spectral broadening in resonance…

## 8 Citations

### Dissipative dynamics of a quantum two-state system in presence of nonequilibrium quantum noise

- Physics
- 2016

Abstract
We analyze the real-time dynamics of a quantum two-state system in the presence of
nonequilibrium quantum fluctuations. The latter are generated by a coupling of the
two-state system to a…

### Generalization of barrier crossing rate for coloured non Gaussian noise driven open systems

- Physics
- 2009

We have calculated the escape rate from a metastable of an open system driven by coloured non Gaussian and Gaussian thermal noise sources using the Fokker-Planck description of the stochastic…

### Dynamic evolution for liquid-state nuclear spins and Berry phase of mixed state in a magnetic resonance.

- PhysicsJournal of magnetic resonance
- 2012

### Barrier crossing dynamics of a charged particle in the presence of a magnetic field: a new turnover phenomenon.

- PhysicsPhysical chemistry chemical physics : PCCP
- 2011

Although the force due to the magnetic field is not dissipative in nature, it plays a role in the steady state barrier crossing rate similar to that of a dissipative force in the weak damping regime.

### Escape through an unstable limit cycle: resonant activation.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

The mean first passage time (MFPT) for the particle to escape from an unstable limit cycle is numerically calculated and finds resonant activation, i.e., the MFPT first decreases, followed by a rise after passing through a minimum with increasing noise correlation time tau for a fixed noise variance.

### The effect of interference of coloured additive and multiplicative white noises on escape rate

- Physics
- 2004

In this paper we have calculated the escape rate from a meta stable state for coloured and correlated noise driven open systems based on the Fokker–Planck description of the stochastic process. We…

### Equivalent circuit representation of arrays composed of Coulomb-coupled nanoscale devices: modelling, simulation and realizability

- Engineering
- 2001

SUMMARY Technology and physics of discrete nanoscale electronic components are reasonably well understood, but there exists a gap between device physics and nanoelectronic circuit integration. In…

### Equivalent circuit representation of arrays composed of Coulomb‐coupled nanoscale devices: modelling, simulation and realizability

- EngineeringInt. J. Circuit Theory Appl.
- 2001

It is concluded that integrated circuits composed of Coulomb-coupled and metalcontacted nanodevices do have circuit representations, thus circuit theory can be applied to build device models, to simulate and to design nanoelectronic integrated circuits.

## References

SHOWING 1-10 OF 10 REFERENCES

### Quantum Statistical Properties of Radiation

- Physics
- 1973

Dirac Formulation of Quantum Mechanics. Elementary Quantum Systems. Operator Algebra. Quantization of the Electromagnetic Field. Interaction of Radiation with Matter. Quantum Theory of…

### Phys. Rev. A49 J. Phys. B13 J. Phys. B9

- Phys. Rev. A49 J. Phys. B13 J. Phys. B9
- 1977

### J. Opt. Soc. Am

- J. Opt. Soc. Am
- 1977

### Can. J. Phys

- Can. J. Phys
- 1962

### J. Math. Phys

- J. Math. Phys
- 1974

### Phys. Rev. A40

- Phys. Rev. A40
- 1989

### J.Collet,Phys.Rev.A 31,3761(1985);A.E.Ekertand P.L.Knight,Phys. Rev.A 42,487 (1990);Z.Ficek and B.C.Sanders,J.Phys.B

- Phys.Rev.A
- 1994

### 2 :T i m e-dependentresonance uorescence spectra ofthe two-l evelsystem fordi erentdim ensi onl essti m esw i th W

### J. Chem. Phys. Phys. Rev. Letts

- J. Chem. Phys. Phys. Rev. Letts
- 1995