Two coupled qubits interacting with a thermal bath: A comparative study of different models

@article{Deccordi2017TwoCQ,
  title={Two coupled qubits interacting with a thermal bath: A comparative study of different models},
  author={G. L. Deccordi and Antonio Vidiella-Barranco},
  journal={Optics Communications},
  year={2017},
  volume={387},
  pages={366-376}
}
Abstract We investigate the dynamics of two interacting two-level systems (qubits) having one of them isolated and the other coupled to a large number of modes of the quantized electromagnetic field (thermal reservoir). We consider two different models of system–reservoir interaction: (i) a “microscopic” model, according to which the corresponding master equation is derived taking into account the interaction between the two subsystems (qubits); (ii) a naive “phenomenological” model, in which… 

Figures from this paper

Sudden death of entanglement induced by a minimal thermal environment
Abstract We study the dynamics of two interacting two-level systems (qubits) having one of them isolated and the other coupled to a single mode electromagnetic field in a thermal state. The field
Non-Markovian Dynamics of Macroscopic Quantum Systems in Interaction with Non-equilibrium Environments
We study the dynamics of a macroscopic superconducting qubit coupled to two independent non-stationary reservoirs by using time-dependent perturbation theory. We show that an equilibrium environment
Steady bipartite coherence induced by non-equilibrium environment
We study the steady state of two coupled two-level atoms interacting with a non-equilibrium environment that consists of two heat baths at different temperatures. Specifically, we analyze four cases
Kraus Operators for a Pair of Interacting Qubits: a Case Study
The Kraus form of the completely positive dynamical maps is appealing from the mathematical and the point of the diverse applications of the open quantum systems theory. Unfortunately, the Kraus
Reconciliation of quantum local master equations with thermodynamics
The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several
Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation
Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost
Non-additive dissipation in open quantum networks out of equilibrium
We theoretically study a simple non-equilibrium quantum network whose dynamics can be expressed and exactly solved in terms of a time-local master equation. Specifically, we consider a pair of
Self-consistent microscopic derivation of Markovian master equations for open quadratic quantum systems
We provide a rigorous construction of Markovian master equations for a wide class of quantum systems that encompass quadratic models of finite size, linearly coupled to an environment modeled by a
Markovian master equations for quantum thermal machines: local versus global approach
The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but
Nonequilibrium quantum absorption refrigerator
We study a quantum absorption refrigerator, in which a target qubit is cooled by two machine qubits in a nonequilibrium steady-state. It is realized by a strong internal coupling in the two-qubit
...
1
2
3
...

References

SHOWING 1-10 OF 33 REFERENCES
Master equation for dissipative interacting qubits in a common environment
In this paper, we derive a microscopic master equation for a pair of XY-coupled two-level systems interacting with the same memoryless reservoir. In particular, we apply this master equation to the
Dissipation and entanglement dynamics for two interacting qubits coupled to independent reservoirs
We derive the master equation of a system of two coupled qubits by taking into account their interaction with two independent bosonic baths. Important features of the dynamics are brought to light,
Dissipations in coupled quantum systems
We investigate the dynamics of a composite quantum system, comprised of coupled subsystems, of which only one is significantly interacting with the environment. The validity of the conventional ad
Generation and propagation of entanglement in driven coupled-qubit systems
In a bipartite system subject to decoherence from two separate reservoirs, entanglement is typically destroyed faster than where there is a single reservoir. Surprisingly, however, the existence of
Dissipative effects on a generation scheme of a W state in an array of coupled Josephson junctions
The dynamics of an open quantum system, consisting of three superconducting qubits interacting with independent reservoirs, is investigated to elucidate the effects of the environment on a unitary
Perturbative treatment of inter-site couplings in the local description of open quantum networks
The problem of construction of a quantum master equation for a system of sites weakly coupled to each other and to one or more reservoirs (open quantum network) is considered. Microscopic derivation
Quantum information in cavity quantum electrodynamics: logical gates, entanglement engineering and ‘Schrödinger–cat states’
  • S. Haroche
  • Physics, Medicine
    Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2003
TLDR
A complementarity experiment demonstrating the continuous evolution of an apparatus from a quantum to a classical behaviour is realized, and a proposal to study larger systems, i.e. coherent fields with more photons, is presented.
Robust stationary entanglement of two coupled qubits in independent environments
Abstract. The dissipative dynamics of two interacting qubits coupled to independent reservoirs at nonzero temperatures is investigated, paying special attention to the entanglement evolution. The
Nonequilibrium quantum systems: Divergence between global and local descriptions
TLDR
Two popular approaches to modeling nanoscale transfer phenomena are compared: a description in terms of a direct product of the states of each individual system versus the use of new states resulting from diagonalizing the whole Hamiltonian, and their equivalence fails when the system is open.
Higher order effects in the master equation for coupled systems
The usual derivations of the master equation for coupled systems such as the laser make an assumption of weak coupling both for the coupling of the components to their heat baths and for the internal
...
1
2
3
4
...