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Open Quantum Systems
Dynamics of Open Quantum Systems
About The Research
The dynamics of a closed quantum system (isolated system) follows a unitary evolution and the state of the system is given by the solution of the Schrodinger equation for pure states, and the von-Neumann equation for mixed states.
However, this is an idealization of the dynamics which is unavoidably subjects to noise raising from couplings to other degrees of freedom, which are often referred to as the environment. The theory of open quantum system concerns with the dynamics of relatively small quantum system coupled to a second system (the environment), that is typically considered very large, such as phonons in crystal, a gas of particles, or a beam of photons. The coupling to the environment induce energy dissipation and decoherence processes on the quantum system and are responsible for the emergence of irreversibility. Our group develop methods and tools to describe the dynamics of open quantum system in the weak and strong system-environment coupling regimes and for open system driven by time-dependent Hamiltonians.

Related Publications

  • Open Quantum Systems
20 | Response theory for nonequilibrium steady-states of open quantum systems
A. Levy, E. Rabani, and D.T. Limmer | arXiv:2010.03929 (2020)
18 | Modelling Energy Transfer in Quantum Thermal Machines
A. Levy, W. Dou |  Physics 13, 129 (2020)
DOI:
15 | A complete quasiclassical map for the dynamics of interacting fermions
A. Levy, W. Dou, E. Rabani, D.T. Limmer |
  • The Journal of Chemical Physics 150 (23), 234112 (2019)
  • DOI: https://doi.org/10.1021/acs.jpcc.9b04132
    14 | Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point
     A. Levy, L. Kidon, J. Batge, J. Okamoto, M. Thoss, D.T. Limmer, E. Rabani |  The Journal of Physical Chemistry C 123, (22), 13538-13544 (2019)
    DOI: https://doi.org/ 10.1063/1.5099987
    13 | Time-dependent Markovian quantum master equation
    R. Dann, A. Levy, R. Kosloff |  Physical Review A 98 (5), 052129 (2019)
    DOI: https://doi.org/10.1103/PhysRevA.98.052129
    11 | Noise resistant quantum control using dynamical invariants
     A. Levy, A. Kiely, J.G. Muga, R. Kosloff E. Torrontegui | 
    • New Journal of Physics 20 (2), 025006 (2018)
    DOI: https://doi.org/10.1088/1367-2630/aaa9e5
    10 | Action-noise-assisted quantum control
    A. Levy, E. Torrontegui, R. Kosloff | Physical Review A 96 (3), 033417(2017)
    DOI: https://doi.org/10.1103/PhysRevA.96.033417
    07 | Three approaches for representing Lindblad dynamics by a matrix-vector notation
    M Am-Shallem, A Levy, I Schaefer, R Kosloff | arXiv preprint arXiv:1510.08634 (2015)
    05 | The local approach to quantum transport may violate the second law of thermodynamics
     A. Levy, R. Kosloff | EPL (Europhysics Letters) 107 (2), 20004 (2014)
    DOI: https://doi.org/10.1209/0295-5075/107/20004