Coalescence of non-Markovian dissipation, quantum Zeno effect, and non-Hermitian physics in a simple realistic quantum system

Mouloudakis, G.; Lambropoulos, P.

doi:10.1103/physreva.106.053709

Cited by 6 publications

(2 citation statements)

References 53 publications

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“…the density matrix of the chain with the last qubit interacting with a non-Markovian reservoir, is a subtler task because the memory effects of the reservoir make the equation of the last qubit amplitude more complicated. In two of our recent papers, we examined the dynamics of XX chain boundary driven by non-Markovian reservoirs [16], as well as the connection between exceptional points and the Quantum Zeno effect in a simpler quantum system consisting of two interacting qubits one of which is coupled to a non-Markovian reservoir [45]. On the basis of the formulation developed in those papers, as applied to the present system, we outline here the basic procedure to obtain the amplitudes of the chain sites.…”

Section: Theorymentioning

confidence: 99%

Assessment of the degree of non-Markovianity of open quantum systems and the necessary generalization of quantum state distance measures

Mouloudakis¹,

I.²,

Lambropoulos³

2023

Preprint

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We provide a quantitative evaluation of the degree of non-Markovianity (DNM) for an XX chain of interacting qubits with one end coupled to a reservoir. The DNM is assessed in terms of various quantum state distance (QSD) measures and various cases of non-Markovian spectral densities. Our approach is based on the construction of the density matrix of the open chain, without the necessity of a master equation. For the quantification of the DNM we calculate the dynamics of the QSD measures between the Markovian-damped and various types of non-Markovian-damped cases. Since in the literature several QSD measures, appear in forms that imply trace preserving density matrices, we introduced appropriate modifications so as to render them applicable to open systems with damped traces. Our results produce remarkable consistency between the various QSD measures. They also reveal a subtle and potentially useful interplay between qubit-qubit interaction and non-Markovian damping. Our calculations have also uncovered a surprisingly dramatic slowingdown of dissipation by the squared Lorentzian reservoir.

show abstract

Section: Theorymentioning

confidence: 99%

Assessment of the degree of non-Markovianity of open quantum systems and the necessary generalization of quantum state distance measures

Mouloudakis¹,

I.²,

Lambropoulos³

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…the density matrix of the chain with the last qubit interacting with a non-Markovian reservoir, is a subtler task because the memory effects of the reservoir make the equation of the last qubit amplitude more complicated. In two of our recent papers, we examined the dynamics of XX chain boundary driven by non-Markovian reservoirs [16], as well as the connection between exceptional points and the Quantum Zeno effect in a simpler quantum system consisting of two interacting qubits one of which is coupled to a non-Markovian reservoir [50]. On the basis of the approach developed in those papers, as applied to the present system, we outline here the basic procedure to obtain the amplitudes of the chain sites.…”

Section: Construction Of σ(T) (Markovian System)mentioning

confidence: 99%

Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance

Mouloudakis

Lambropoulos

2023

Phys. Scr.

Self Cite

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We provide a quantitative evaluation of non-Markovianity (NM) for an XX chain of interacting qubits with one end coupled to a reservoir. The NM of several non-Markovian spectral densities is assessed in terms of various quantum state distance (QSD) measures. Our approach is based on the construction of the density matrix of the open chain, without the necessity of a masterequation. For the quantification of NM we calculate the dynamics of the QSD measures between the Markovian-damped and various types of non-Markovian-damped cases. Since in the literature several QSD measures, appear in forms that imply trace preserving density matrices, we introduced appropriate modifications so as to render them applicable to the case of decaying traces. The resultsproduce remarkable consistency between the various QSD measures. They also reveal a subtle and potentially useful interplay between qubit-qubit interaction and non-Markovian damping. Our calculations have also uncovered a surprisingly dramatic slowing-down of dissipation by the squared Lorentzian reservoir.

show abstract

Correlated noise enhancement of coherence and fidelity in coupled qubits

Bittner,

Li,

Shah

et al. 2024

Philosophical Magazine

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Coalescence of non-Markovian dissipation, quantum Zeno effect, and non-Hermitian physics in a simple realistic quantum system

Cited by 6 publications

References 53 publications

Assessment of the degree of non-Markovianity of open quantum systems and the necessary generalization of quantum state distance measures

Assessment of the degree of non-Markovianity of open quantum systems and the necessary generalization of quantum state distance measures

Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance

Correlated noise enhancement of coherence and fidelity in coupled qubits

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