Initial states of qubit-boson models leading to conserved quantities
arXiv:1301.5661 · doi:10.1088/1751-8113/46/23/235301
Abstract
It is possible to prepare a composite qubit-environment system so that its time evolution will guarantee the conservation of a preselected qubit's observable. In general, this observable is not associated with a symmetry. The latter may not even be present in the subsystem. The initial states which lead to such a quantity conserved dynamics form a subspace of the qubit-environment space of states. General construction of this subspace is presented and illustrated by two examples. The first one is the exactly soluble Jaynes-Cummings model and the second is the multi-photon Rabi model.
J. Phys. A, accepted
References in corpus (21)
- Quantum Computing
- An Open-System Quantum Simulator with Trapped Ions
- Scalable quantum register based on coupled electron spins in a room temperature solid
- Dissipative preparation of entanglement in optical cavities
- Decoherence of matter waves by thermal emission of radiation
- Quantum memories based on engineered dissipation
- Exact master equations for the non-Markovian decay of a qubit
- Initial correlations in open system's dynamics: The Jaynes-Cummings model
- Quantum State Orthogonalization and a Toolset for Quantum Optomechanical Phonon Control
- Exact real-time dynamics of the quantum Rabi model
- Effects of counterrotating interaction on driven tunneling dynamics: coherent destruction of tunneling and Bloch-Siegert shift
- Quantum efficiency of a microwave photon detector based on a current-biased Josephson junction
- Quantum Rabi model for N-state atoms
- Dynamical decoupling and dephasing in interacting two-level systems
- On the existence of solutions to the operator Riccati equation and the tanΘtheorem
- Controlled dephasing of an electron interferometer with a path detector at equilibrium
- Spin-orbit couplings between distant electrons trapped individually on liquid helium
- Ultrafast dephasing of light in strongly scattering GaP nanowires
- Universal Dephasing of Many-Body Rabi Oscillations of Atoms in One-Dimensional Traps
- Exact reduced dynamics for a qubit in a precessing magnetic field and in the contact with a heat-bath
- Generalized parity in multi-photon Rabi model