Continuous Measurement of a Non-Markovian Open Quantum System

Shabani, Alireza; Roden, Jan; Whaley, K. Birgitta

doi:10.1103/physrevlett.112.113601

Cited by 33 publications

(30 citation statements)

References 50 publications

(121 reference statements)

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“…A recent demonstration of such measurement was recently described [33], although in a setup that cannot observe the effect of coupling to the measuring apparatus on the observed system. Alternative setups that allow such observation were theoretically considered in [24,34]. Another possibility is to use a molecule with a strong optical charge-transfer transition e.g.…”

Section: Introductionmentioning

confidence: 99%

Landau–Zener evolution under weak measurement: manifestation of the Zeno effect under diabatic and adiabatic measurement protocols

2015

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The time evolution and the asymptotic outcome of a Landau-Zener-Stueckelberg-Majorana (LZ) process under continuous weak non-selective measurement is analyzed. We compare two measurement protocols in which the populations of either the adiabatic or the non-adiabatic levels are (continuously and weakly) monitored. The weak measurement formalism, described using a Gaussian Kraus operator, leads to a time evolution characterized by a Markovian dephasing process, which, in the non-adiabatic measurement protocol is similar to earlier studies of LZ dynamics in a dephasing environment. Casting the problem in the language of measurement theory makes it possible for us to compare diabatic and adiabatic measurement scenarios, to consider engineered dephasing as a control device and to examine the manifestation of the Zeno effect under the different measurement protocols. In particular, under measurement of the non-adiabatic populations, the Zeno effect is manifested not as a freezing of the measured system in its initial state, but rather as an approach to equal asymptotic populations of the two diabatic states. This behavior can be traced to the way by which the weak measurement formalism behaves in the strong measurement limit, with a built-in relationship between measurement time and strength.

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Section: Introductionmentioning

confidence: 99%

Landau–Zener evolution under weak measurement: manifestation of the Zeno effect under diabatic and adiabatic measurement protocols

2015

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“…(4) in Ref. [35], it is caused by a virtual coupling between the system and the outside reservoir. The corresponding decoherence rate is κ ν g 2 α,ν (ωr−(Ωj −Ω k )) 2 , which we can ignore in comparison with the heating rate Eq.…”

Section: Dispersive Regime Discussionmentioning

confidence: 99%

Artificial quantum thermal bath: Engineering temperature for a many-body quantum system

Shabani

Neven

2016

Phys. Rev. A

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Temperature determines the relative probability of observing a physical system in an energy state when that system is energetically in equilibrium with its environment. In this paper, we present a theory for engineering the temperature of a quantum system different from its ambient temperature. We define criteria for an engineered quantum bath that, when coupled to a quantum system with Hamiltonian H, drives the system to the equilibrium state e −H/T Tr(e −H/T ) with a tunable parameter T . This is basically an analog counterpart of the digital quantum metropolis algorithm. For a system of superconducting qubits, we propose a circuit-QED approximate realization of such an engineered thermal bath consisting of driven lossy resonators. Our proposal opens the path to simulate thermodynamical properties of many-body quantum systems of size not accessible to classical simulations. Also we discuss how an artificial thermal bath can serve as a temperature knob for a hybrid quantum-thermal annealer.

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“…and L 7 = α 3 (1 − γ) /2 exp (iψ)a † + exp (−iψ)a , with α 3 , ψ ≥ 0 and γ ∈ ]0, 1] (see, e.g., [6,7,54,58]).…”

Section: Autonomous Stochastic Quantum Master Equation Of Diffusive Typementioning

confidence: 99%

Numerical solution of stochastic quantum master equations using stochastic interacting wave functions

Mora¹,

Fernández

Biscay

2018

Journal of Computational Physics

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We develop a new approach for solving stochastic quantum master equations with mixed initial states. First, we obtain that the solution of the jump-diffusion stochastic master equation is represented by a mixture of pure states satisfying a system of stochastic differential equations of Schrödinger type. Then, we design three exponential schemes for these coupled stochastic Schrödinger equations, which are driven by Brownian motions and jump processes. Hence, we have constructed efficient numerical methods for the stochastic master equations based on quantum trajectories. The good performance of the new numerical integrators is illustrated by simulations of two quantum measurement processes. t 0 Tr R m (s) * R m (s) ρ s− ds (see , e.g., [12, 31, 46]) such that N 1 , . . . , N M have no common jumps, and

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Continuous Measurement of a Non-Markovian Open Quantum System

Cited by 33 publications

References 50 publications

Landau–Zener evolution under weak measurement: manifestation of the Zeno effect under diabatic and adiabatic measurement protocols

Landau–Zener evolution under weak measurement: manifestation of the Zeno effect under diabatic and adiabatic measurement protocols

Artificial quantum thermal bath: Engineering temperature for a many-body quantum system

Numerical solution of stochastic quantum master equations using stochastic interacting wave functions

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