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AIP conference proceedings

Entanglement control by common heat bath

Md. Manirul Ali, Sibasish Ghosh A, Hsi‐Sheng Goan, Yueh-Nan Chen

Published Jan 1, 2008• 1 citation
Publisher

Abstract

We solve the time evolution for most general density matrix for 2‐qubits under the interaction with a common heat bath and investigate the time evolution for a particularly interesting entangled state where we provide a scheme to enhance or concentrate entanglement using common heat bath interaction. The correspondence between the entanglement dynamics and energy exchange of the system with the environment is discussed under that situation. Entanglement sudden death, decoherence free entanglement and entanglement enhancement are shown to be dependent on the energy exchange of the system with the environment.

DOI
10.1063/1.3037143

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We solve the time evolution for most general density matrix for 2‐qubits under the interaction with a common heat bath and investigate the time evolution for a particularly interesting entangled state where we provide a scheme to enhance or concentrate entanglement using common heat bath interaction. The correspondence between the entanglement dynamics and energy exchange of the system with the environment is discussed under that situation. Entanglement sudden death, decoherence free entanglement and entanglement enhancement are shown to be dependent on the energy exchange of the system with the environment.
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We investigate how two spatially separated qubits coupled to a common heat bath can be entangled by purely dissipative dynamics. We identify a dynamical time scale associated with the lifetime of the dissipatively generated entanglement and show that it can be much longer than either the typical single-qubit decoherence time or the time scale on which a direct exchange interaction can entangle the qubits. We give an approximate analytical expression for the long-time evolution of the qubit concurrence and propose an ion trap scheme in which such dynamics should be observable.
I show that entanglement between two qubits can be generated if the two qubits interact with a common heat bath in thermal equilibrium, but do not interact directly with each other. In most situations the entanglement is created for a very short time after the interaction with the heat bath is switched on, but depending on system, coupling, and heat bath, the entanglement may persist for arbitrarily long times. This mechanism sheds new light on the creation of entanglement. A particular example of two quantum dots in a closed cavity is discussed, where the heat bath is given by the blackbody radiation.
We investigate the entanglement dynamics of two interacting qubits in a common vacuum environment. The inevitable environment interaction leads to entanglement sudden death (ESD) in a two qubit entangled state system. The entanglement dynamics can be modified by the use of local unitary operations (quantum gates), applied on the system during its evolution. We show that these operations not only delays or avoids the ESD but also advances the entanglement revival with high concurrence value depending on the time of operation. We have analytically found out different time windows for switching with different quantum gates so that the ESD can be completely avoided in the subsequent evolution of the system. Our result offers practical applications in the field of quantum information processing where the entanglement is a necessary resource.
We study the dynamical behavior of two initially entangled qubits, each locally coupled to an environment embodied by an interacting spin chain. We consider energy-exchange qubit–environment couplings resulting in rich and highly non-trivial entanglement dynamics. We obtain exact results for the time evolution of the concurrence between the two qubits and find that, by tuning the interaction parameters, one can freeze the dynamics of entanglement, therefore inhibiting their relaxation into the spin environments, as well as activate a sudden-death phenomenon. We also discuss the effects of an environmental quantum phase transition on the features of the two-qubit entanglement dynamics.
We study the dynamical behavior of two initially entangled qubits, each locally coupled to an environment embodied by an interacting spin chain. We consider energy-exchange qubit–environment couplings resulting in rich and highly non-trivial entanglement dynamics. We obtain exact results for the time evolution of the concurrence between the two qubits and find that, by tuning the interaction parameters, one can freeze the dynamics of entanglement, therefore inhibiting their relaxation into the spin environments, as well as activate a sudden-death phenomenon. We also discuss the effects of an environmental quantum phase transition on the features of the two-qubit entanglement dynamics.