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Springer eBooks

Quantum Decay for Common Quantum States

H. C. Fan, Liyun Hu

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.1007/978-981-95-1528-8_8

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Within the capacity of current experiments, we design a composite atom-cavity system with a common bath, in which the decay channels of the atom and the cavity mode interfere with each other. When the direct atom-cavity coupling is absent, the system can be trapped in a quasidark state (the coherent superposition of excited states for the atom and the cavity mode) without decay even in the presence of the bath. When the atom directly couples with the cavity, the largest decay rate of the composite system will surpass the sum of the two subsystems while the smallest decay rate may achieve 0. This is manifested in the transmission spectrum, where the vacuum Rabi splitting shows an obvious asymmetric character.

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•Jan 1, 2024•0 citations

Multichannel Decay: Alternative Derivation of the i-th Channel Decay Probability

Francesco Giacosa

In the study of decays, it is quite common that an unstable quantum state/particle has multiple distinct decay channels.In this case, besides the survival probability p(t), also the probability wi(t) that a decay occurs between (0, t) in the i-th channel is a relevant object.The general form of the function wi(t) was recently presented in PLB 831, 137200 (2022).Here, we provide a novel and detailed "joint" derivation of both p(t) and wi(t).As it is well known, p(t) is not an exponential function; similarly, wi(t) is not one either.In particular, the ratio wi/wj (for i = j) is not a simple constant as it would be in the exponential limit.The functions wi(t) and their mutual ratios may therefore represent a novel tool to study the non-exponential nature of the decay law.

arXiv:2207.13977•Acta Physica Polonica A•Sep 1, 2022•1 citation

QUANTUM STATISTICAL DECAY

WORLD SCIENTIFIC eBooks•Oct 1, 1999•0 citations
Within the capacity of current experiments, we design a composite atom-cavity system with a common bath, in which the decay channels of the atom and the cavity mode interfere with each other. When the direct atom-cavity coupling is absent, the system can be trapped in a quasidark state (the coherent superposition of excited states for the atom and the cavity mode) without decay even in the presence of the bath. When the atom directly couples with the cavity, the largest decay rate of the composite system will surpass the sum of the two subsystems while the smallest decay rate may achieve 0. This is manifested in the transmission spectrum, where the vacuum Rabi splitting shows an obvious asymmetric character.
In the study of decays, it is quite common that an unstable quantum state/particle has multiple distinct decay channels.In this case, besides the survival probability p(t), also the probability wi(t) that a decay occurs between (0, t) in the i-th channel is a relevant object.The general form of the function wi(t) was recently presented in PLB 831, 137200 (2022).Here, we provide a novel and detailed "joint" derivation of both p(t) and wi(t).As it is well known, p(t) is not an exponential function; similarly, wi(t) is not one either.In particular, the ratio wi/wj (for i = j) is not a simple constant as it would be in the exponential limit.The functions wi(t) and their mutual ratios may therefore represent a novel tool to study the non-exponential nature of the decay law.