We use a quasi-Hamiltonian formalism to describe the dissipative dynamics of a circuit-QED qubit that is affected by several fluctuating two-level systems with a $1/f$ -noise power spectrum. The qubit-resonator interactions are described by the Jaynes-Cummings model. We argue that the presence of pure dephasing noise in such a qubit-resonator system will also induce an energy relaxation mechanism via a fluctuating dipole-coupling term. This random modulation of the coupling is seen to lead to rich physical behavior. For non-Markovian noise, the coupling can either worsen or alleviate decoherence, depending on the initial conditions. The magnetization noise leads to behavior resembling the collapse and revival of Rabi oscillations if the photons are in a coherent state. For a broad distribution of noise couplings, the frequency of these oscillations depends on the mean noise strength. We describe this behavior semianalytically and find it to be independent of the number of fluctuators. This phenomenon could be used as an in situ probe of the noise characteristics.We use a quasi-Hamiltonian formalism to describe the dissipative dynamics of a circuit-QED qubit that is affected by several fluctuating two-level systems with a $1/f$-noise power spectrum. The qubit-resonator interactions are described by the Jaynes-Cummings model. We argue that the presence of pure dephasing noise in such a qubit-resonator system will also induce an energy relaxation mechanism via a fluctuating dipole-coupling term. This random modulation of the coupling is seen to lead to rich physical behavior. For non-Markovian noise, the coupling can either worsen or alleviate decoherence, depending on the initial conditions. The magnetization noise leads to behavior resembling the collapse and revival of Rabi oscillations if the photons are in a coherent state. For a broad distribution of noise couplings, the frequency of these oscillations depends on the mean noise strength. We describe this behavior semianalytically and find it to be independent of the number of fluctuators. This phenomenon could be used as an in situ probe of the noise characteristics.

arXiv:1211.4187Physical Review AApr 29, 20138 citations

Rabi Oscillations Revival Induced by Time Reversal: A Test of Mesoscopic Quantum Coherence

Tristan Meunier, S. Gleyzes, Paolo Maioli +5 more

Using an echo technique proposed by Morigi et al., we have time-reversed the atom-field interaction in a cavity quantum electrodynamics experiment. The collapse of the atomic Rabi oscillation in a coherent field is reversed, resulting in an induced revival signal. The amplitude of this "echo" is sensitive to nonunitary decoherence processes. Its observation demonstrates the existence of a mesoscopic quantum superposition of field states in the cavity between the collapse and the revival times.Using an echo technique proposed by Morigi et al., we have time-reversed the atom-field interaction in a cavity quantum electrodynamics experiment. The collapse of the atomic Rabi oscillation in a coherent field is reversed, resulting in an induced revival signal. The amplitude of this "echo" is sensitive to nonunitary decoherence processes. Its observation demonstrates the existence of a mesoscopic quantum superposition of field states in the cavity between the collapse and the revival times.

Physical Review LettersJan 3, 2005126 citations

From Rabi oscillations to quantum instability

Vyacheslav Shatokhin, S. Ya. Kilin

European Quantum Electronics Conference (EQEC)Aug 24, 20050 citations

Rabi oscillations revival induced by time reversal: a test of mesoscopic quantum coherence

S. Gleyzes, Christine Guerlin, Stefan Kuhr +4 more

Using a technique reminiscent of the spin-echo, the paper reports on the demonstration of the coherent superposition of the two dephased fields. The atom is first interacted with the field. Collapse of the Rabi oscillations is then observed. The phase distribution is measured to check that the field has been split into two components. A /spl pi/-pulse is applied that swaps the two atomic states correlated to the phase components. This amounts to a time-reversal operation. The field components then reverse their evolution in the phase plane, until they merge back together. An induced Rabi revival is observed that proves the coherence of the whole process.Using a technique reminiscent of the spin-echo, the paper reports on the demonstration of the coherent superposition of the two dephased fields. The atom is first interacted with the field. Collapse of the Rabi oscillations is then observed. The phase distribution is measured to check that the field has been split into two components. A /spl pi/-pulse is applied that swaps the two atomic states correlated to the phase components. This amounts to a time-reversal operation. The field components then reverse their evolution in the phase plane, until they merge back together. An induced Rabi revival is observed that proves the coherence of the whole process.

European Quantum Electronics Conference (EQEC)Jan 1, 20053 citations

We use a quasi-Hamiltonian formalism to describe the dissipative dynamics of a circuit-QED qubit that is affected by several fluctuating two-level systems with a

1/f

-noise power spectrum. The qubit-resonator interactions are described by the Jaynes-Cummings model. We argue that the presence of pure dephasing noise in such a qubit-resonator system will also induce an energy relaxation mechanism via a fluctuating dipole-coupling term. This random modulation of the coupling is seen to lead to rich physical behavior. For non-Markovian noise, the coupling can either worsen or alleviate decoherence, depending on the initial conditions. The magnetization noise leads to behavior resembling the collapse and revival of Rabi oscillations if the photons are in a coherent state. For a broad distribution of noise couplings, the frequency of these oscillations depends on the mean noise strength. We describe this behavior semianalytically and find it to be independent of the number of fluctuators. This phenomenon could be used as an in situ probe of the noise characteristics.