Generalized relation between pulsed and continuous measurements in the quantum Zeno effect

Muga, J. G.; Echanobe, Javier; Campo, Adolfo del; Lizuain, I.

doi:10.1088/0953-4075/41/17/175501

Cited by 25 publications

(26 citation statements)

References 23 publications

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“…According to Refs. [26,27], the decay channel of the qubit excited level gives an effective measurement interval δt = 4/Γ. By continuously monitoring whether the phase qubit switches to a voltage state, we will be able to determine the survival probability of the ground state.…”

Section: Experimental Implementationmentioning

confidence: 99%

Zeno physics in ultrastrong-coupling circuit QED

et al. 2010

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We study the Zeno and anti-Zeno effects in a superconducting qubit interacting strongly and ultrastrongly with a microwave resonator. Using a model of a frequently measured two-level system interacting with a quantized mode, we predict different behaviors and total control of the Zeno times depending on whether the rotating-wave approximation can be applied in the Jaynes-Cummings model, or not. We exemplify showing the dependence of our results with the properties of the initial field states.

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Section: Experimental Implementationmentioning

confidence: 99%

Zeno physics in ultrastrong-coupling circuit QED

et al. 2010

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“…If the decayed atom escapes from the trap by recoil, a Hamiltonian (rather than master equation) description is enough for the trapped atom [33,34]. We shall also assume a semiclassical treatment of the interaction between a laser electric field linearly polarized and a decay rate (inverse life-time) from the excited state.…”

Section: A H 1 (T) Applied To a Decaying Two-level Atommentioning

confidence: 99%

“…In the example below, we shall take as a constant, although, in a general case, it could also depend on time, = (t), as an effective decay rate controlled by further interactions; see, e.g., Ref. [34]. The eigenvalues of this Hamiltonian are (33) and the normalized eigenstates are…”

Section: A H 1 (T) Applied To a Decaying Two-level Atommentioning

confidence: 99%

Shortcuts to adiabaticity for non-Hermitian systems

et al. 2011

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Adiabatic processes driven by non-Hermitian, time-dependent Hamiltonians may be sped up by generalizing inverse engineering techniques based on Berry's transitionless driving algorithm or on dynamical invariants. We work out the basic theory and examples described by two-level Hamiltonians: the acceleration of rapid adiabatic passage with a decaying excited level and of the dynamics of a classical particle on an expanding harmonic oscillator

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“…the spontaneous decay, in some cases, Γ(t) can be controlled as an effective decay rate by further interactions, see, e.g., Ref. [40]). This is remarkable, since the noise and certain dissipation in the systems are no longer undesirable, but play an integral part in our scheme.…”

Section: Experimental Feasibility and Numerical Examplesmentioning

confidence: 99%

Reverse engineering of a nonlossy adiabatic Hamiltonian for non-Hermitian systems

Chen

Huang

et al. 2016

Phys. Rev. A

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We generalize the quantum adiabatic theorem to the non-Hermitian system and build a strict adiabaticity condition to make the adiabatic evolution non lossy when taking into account the effect of adiabatic phase. According to the strict adiabaticity condition, the non-adiabatic couplings and the effect of the imaginary part of adiabatic phase should be eliminated as much as possible. Also the non-Hermitian Hamiltonian reverse engineering method is proposed for adiabatically driving an artificial quantum state. Concrete two-level system is adopted to show the usefulness of the reverse engineering method. We obtain the desired target state by adjusting extra rotating magnetic fields at a predefined time. Furthermore, the numerical simulation shows that certain noise and dissipation in the systems are no longer undesirable, but play a positive role in the scheme. Therefore, the scheme is quite useful for quantum information processing in some dissipative systems.

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Generalized relation between pulsed and continuous measurements in the quantum Zeno effect

Cited by 25 publications

References 23 publications

Zeno physics in ultrastrong-coupling circuit QED

Zeno physics in ultrastrong-coupling circuit QED

Shortcuts to adiabaticity for non-Hermitian systems

Reverse engineering of a nonlossy adiabatic Hamiltonian for non-Hermitian systems

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