Decoherence of two qubits in non-Markovian reservoirs without the rotating-wave approximation

Fa-Qiang, Wang; Zhang, Zhiming; Liang, Renrong

doi:10.1103/physreva.78.062318

Cited by 19 publications

(5 citation statements)

References 26 publications

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“…[38][39][40][41][42][43][44][45][46][47][48][49][50]). Mainly, there are three points of difference between the two cases: the initial state, the coupling between the two TLSs, and the coupling form between the TLSs and their heat baths.…”

Section: Discussionmentioning

confidence: 99%

Coherent excitation-energy transfer and quantum entanglement in a dimer

et al. 2010

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We study coherent energy transfer of a single excitation and quantum entanglement in a dimer, which consists of a donor and an acceptor modeled by two two-level systems. Between the donor and the acceptor, there exists a dipole-dipole interaction, which provides the physical mechanism for coherent energy transfer and entanglement generation. The donor and the acceptor couple to two independent heat baths with diagonal couplings that do not dissipate the energy of the non-coupling dimer. Special attention is paid to the effect on single-excitation energy transfer and entanglement generation of the energy detuning between the donor and the acceptor and the temperatures of the two heat baths. It is found that, the probability for single-excitation energy transfer largely depends on the energy detuning in the low temperature limit. Concretely, the positive and negative energy detunings can increase and decrease the probability at the steady state, respectively. In the high temperature limit, however, the effect of the energy detuning on the probability is neglectably small. We also find that the probability is neglectably dependent on the bath temperature difference of the two heat baths. In addition, it is found that quantum entanglement can be generated in the process of coherent energy transfer. As the bath temperature increases, the generated steady state entanglement decreases. For a given bath temperature, the steady-state entanglement decreases with the increasing of the absolute value of the energy detuning.Comment: 13 pages, 11 figure

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Section: Discussionmentioning

confidence: 99%

Coherent excitation-energy transfer and quantum entanglement in a dimer

et al. 2010

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“…Indeed, the common reservoir provides an effective coupling between the qubits, and consequently creates quantum correlations between them. As a result, qubits prepared in a factorized state can become entangled due to the interaction with the common reservoir, in contrast with the independent non-Markovian reservoir case [16,17].…”

Section: Entanglement-mixedness Dynamical Interplaymentioning

confidence: 99%

“…The phenomenon of entanglement sudden death (ESD), consisting in the complete disappearance of bipartite entanglement in a finite time, is believed to set a limit on the life-time and usability of entanglement for practical purposes. Hence, much effort has been made in order to understand the conditions under which ESD occurs [11][12][13][14][15][16][17][18][19]. In [19] we studied the entanglement time evolution when two qubits are prepared in a Bell-like state with two excitations.…”

Section: Introductionmentioning

confidence: 99%

Interplay between entanglement and entropy in two-qubit systems

Mazzola¹,

Maniscalco²,

Piilo³

et al. 2010

J. Phys. B: At. Mol. Opt. Phys.

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We study the exact entanglement and entropy dynamics of two qubits interacting with a common zero-temperature non-Markovian reservoir. It is a commonly held view that entanglement loss due to environmental decoherence is accompanied by loss of purity of the state of the system. We demonstrate that such an intuitive picture does not always apply: the deterioration of entanglement and purity does not necessarily come together; i.e. revivals of entanglement can be accompanied by deterioration of purity. To complete our investigation on entanglement-mixedness interplay we consider the case of initial mixed states and study how the entanglement dynamics and its revivals are related to both the initial purity and the initial entanglement.

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“…The dynamics of the system is given in all the cases by the Lehmberg-Agarwal master equation [76,77] which is derived with the rotating wave approximation (RWA) and the Born-Markov approximation. Recently, non-Markovian [69] and non-RWA [78] effects have been considered in systems of qubits coupled individually to different reservoirs. There are good reasons for going beyond the Markovian and RWA scenario in the case of a pair of twolevel atoms in the electromagnetic vacuum.…”

Section: Introductionmentioning

confidence: 99%

Quantum Simulation of the Majorana Equation and Unphysical Operations

et al. 2011

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A quantum simulator is a device engineered to reproduce the properties of an ideal quantum model. It allows the study of quantum systems that cannot be efficiently simulated on classical computers. While a universal quantum computer is also a quantum simulator, only particular systems have been simulated up to now. Still, there is a wealth of successful cases, such as spin models, quantum chemistry, relativistic quantum physics and quantum phase transitions. Here, we show how to design a quantum simulator for the Majorana equation, a non-Hamiltonian relativistic wave equation that might describe neutrinos and other exotic particles beyond the standard model. The simulation demands the implementation of charge conjugation, an unphysical operation that opens a new front in quantum simulations, including the discrete symmetries associated with complex conjugation and time reversal. Finally, we show how to implement this general method in trapped ions.Comment: To be published in Physical Review

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Decoherence of two qubits in non-Markovian reservoirs without the rotating-wave approximation

Cited by 19 publications

References 26 publications

Coherent excitation-energy transfer and quantum entanglement in a dimer

Coherent excitation-energy transfer and quantum entanglement in a dimer

Interplay between entanglement and entropy in two-qubit systems

Quantum Simulation of the Majorana Equation and Unphysical Operations

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