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Annalen der Physik

Adiabatic Evolution: The Influence of Non‐Markovian Characters on Quantum Adiabatic Evolution (Ann. Phys. 1/2019)

Ye‐Xiong Zeng, Tesfay Gebremariam, Ming‐Song Ding, Chong Li

Published Jan 1, 2019• 4 citations
Publisher

Abstract

In article number 1800234, Ye-Xiong Zeng, Chong Li, and coworkers investigate the influence of the memory effect of the environments on adiabatic evolution and show that the memory can protect the adiabatic process and decrease the dependence of the classical lasers on adiabatic population transfer. The cover image illustrates an atom ensemble controlled by two classical optical fields in two environments. The yellow and purple straight lines represent two classical optical fields. Furthermore, two multicolor coils are considered as two environments which surround an atom ensemble.

DOI
10.1002/andp.201970010

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In article number 1800234, Ye-Xiong Zeng, Chong Li, and coworkers investigate the influence of the memory effect of the environments on adiabatic evolution and show that the memory can protect the adiabatic process and decrease the dependence of the classical lasers on adiabatic population transfer. The cover image illustrates an atom ensemble controlled by two classical optical fields in two environments. The yellow and purple straight lines represent two classical optical fields. Furthermore, two multicolor coils are considered as two environments which surround an atom ensemble.
Memory (non-Markovian) effect is found to be able to accelerate quantum evolution [S. Deffner and E. Lutz, Phys. Rev. Lett. 111, 010402 (2013).]. In this work, for an atom in a structured reservoir, we show that the mechanism for the speedup is not only related to non-Markovianity but also to the population of excited states under a given driving time. In other words, it is the competition between non-Markovianity and population of excited states that ultimately determines the acceleration of quantum evolution in memory environments. A potential experimental realization for verifying the above phenomena is discussed by using a nitrogen-vacancy center embedded in a planar photonic crystal cavity under current technologies.
Abstract The influence of non‐Markovian characters on the adiabatic evolution is investigated. The adiabatic Raman process is simulated in a three‐level system coupled to two independent environments. The results show that the memory effect of environments can restrain the decoherence effect of the system. Even if the system has strong decay rates in the non‐Markovian environments, the adiabatic population transfer can be still completed efficiently. Moreover, the memory effect can reduce the dependence of the adiabatic evolution on the Rabi frequency. Specifically, the two independent non‐Markovian baths can suppress the decoherence more effectively than a single non‐Markovian bath.
Non-Markovian evolution of an open quantum system can be induced by the memory effects of a reservoir. Although a reservoir with stronger memory effects may seem like it should cause stronger non-Markovian effects on the system of interest, this seemingly intuitive thinking may not always be correct. We illustrate this by investigating a qubit (a two-level atom) that is coupled to a hierarchical environment, which contains a single-mode cavity and a reservoir consisting of an infinite number of modes. We show how the non-Markovian character of the system is influenced by the coupling strength between the qubit and cavity and the correlation time of the reservoir. In particular, we found a phenomenon whereby the qubit Markovian and non-Markovian transition exhibits a anomalous pattern in a parameter space depicted by the coupling strength and the correlation time of the reservoir.
Abstract Adiabatic evolution has important applications in quantum information processing. In that context, the system has to be maintained in one of its instantaneous eigenstates. Normally the adiabaticity of the system will be ruined by its surrounding environment. Quantum control has been used widely to speed up the adiabatic process and thus reduces the effect of the environment. In this letter, we investigate the adiabatic speedup and the associated quantum heat current with and without pulse control. The system is immersed in a non-Markovian and finite-temperature heat bath. Our calculation results show that the effective adiabatic speedup can be obtained in a weak system-bath coupling and low-temperature heat bath. Specifically, non-Markovianity from the environment can be beneficial to the enhancement of the adiabatic fidelity. Furthermore, we calculate the quantum heat current between the system and bath in the process of adiabatic speedup. We find that the adiabatic fidelity decreases with increasing heat current. Our investigation paves the way for the design of quantum heat engines and quantum devices.