Abstract

We suggest a quantum simulator that allows to study the role of memory effects in the dynamics of open quantum systems. Our proposal is based on a bipartite quantum system consisting, for simplicity, of a harmonic oscillator and a few-level system; it exploits the formal analogy between dissipation and quantum measurements. The interaction between the subsystems gives rise to quantum Zeno dynamics, and the dissipation strength experienced by the harmonic oscillator can be tuned by changing the parameters of the measurement, i.e., the interaction with the few-level system. Extension of the proposal to anharmonic systems is straightforward.

Highlights

  • Quantum simulation uses a controllable quantum system to study another less controllable quantum system [1]

  • We show here that the control available in the measurement process can be used to simulate the effect of an engineered environment, with full tunability of the system dynamics from being memoryless to exhibiting effects of memory

  • We have introduced a quantum simulator for openquantum-system dynamics with tunable non-Markovianity which is universal in the Markovian limit

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Summary

INTRODUCTION

Quantum simulation uses a controllable quantum system to study another less controllable quantum system [1]. A key interest in the quantum simulation of open quantum systems is a controllable transition from Markovian to nonMarkovian dynamics, as quantified by one of the various non-Markovianity measures [20,21,22]. This is motivated in a twofold way. What is missing to date is an open system quantum simulator that allows us to fully tune the strength of memory effects This is essential to study the role of non-Markovianity in the engineering and control of open quantum systems. In the Markovian limit, we can generate arbitrary open system dynamics

THEORETICAL FRAMEWORK
IMPLEMENTATION OF THE OPEN-QUANTUM-SYSTEM SIMULATOR
Implementation with one Zeno pulse
Realizing the Markovian limit
Implementation with two Zeno pulses
Tunability of the simulator
POSSIBLE EXPERIMENTAL IMPLEMENTATIONS
CONCLUSIONS

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