Electromagnetically induced transparency in superconducting quantum circuits: Effects of decoherence, tunneling, and multilevel crosstalk
Zachary Dutton, Kota V. R. M. Murali, William D. Oliver, Terry P. Orlando · 2006 · 44 citationsRead the paper
We explore theoretically electromagnetically induced transparency (EIT) in a superconducting quantum circuit (SQC). The system is a persistent-current flux qubit biased in a $\ensuremath{\Lambda}$ configuration. Previously [Phys. Rev. Lett. 93, 087003 (2004)], we showed that an ideally prepared EIT system provides a sensitive means to probe decoherence. Here, we extend this work by exploring the effects of imperfect dark-state preparation and specific decoherence mechanisms (population loss via tunneling, pure dephasing, and incoherent population exchange). We find an initial, rapid population loss from the $\ensuremath{\Lambda}$ system for an imperfectly prepared dark state. This is followed by a slower population loss due to both the detuning of the microwave fields from the EIT resonance and the existing decoherence mechanisms. We find analytic expressions for the slow loss rate, with coefficients that depend on the particular decoherence mechanisms, thereby providing a means to probe, identify, and quantify various sources of decoherence with EIT. We go beyond the rotating wave approximation to consider how strong microwave fields can induce additional off-resonant transitions in the SQC, and we show how these effects can be mitigated by compensation of the resulting ac Stark shifts.
What the full text shows
Theory or simulation- Imperfect dark-state preparation leads to an initial rapid population loss from the $\Lambda$ system, followed by a slower loss rate. (Superconducting persistent-current flux qubit in a $\Lambda$ configuration)
- The slow population loss rate can be described by analytic expressions with coefficients that depend on specific decoherence mechanisms. (Presence of detuning of microwave fields and decoherence (tunneling, pure dephasing, incoherent population exchange))
- Strong microwave fields induce off-resonant transitions and frequency shifts (AC Stark shifts) that deviate from the rotating wave approximation. (High-field intensities in superconducting quantum circuits)
- Off-resonant transitions and resulting frequency shifts can be mitigated or eliminated. (Compensation of the resulting AC Stark shifts)
- Setup
- Persistent-current (PC) qubit with parameters $\omega_2 - \omega_1 = (2\pi) 27.8$ GHz and $\omega_3 - \omega_2 = (2\pi) 27$ GHz.
- How
- Theoretical analysis using Hamiltonian and density matrix approaches to model a three-level $\Lambda$ system in a persistent-current flux qubit. The study evaluates the effects of decoherence, tunneling, and non-RWA dynamics.
- Limitations
- Theoretical study without experimental validation in this specific paper · Assumes specific qubit parameters for calculations
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