Abstract
We show how to implement a Rindler transformation of coordinates with an embedded quantum simulator. A suitable mapping allows to realise the unphysical operation in the simulated dynamics by implementing a quantum gate on an enlarged quantum system. This enhances the versatility of embedded quantum simulators by extending the possible in-situ changes of reference frames to the non-inertial realm.
Highlights
The original conception of a quantum simulator [1] as a device that implements an involved quantum dynamics in a more amenable quantum system has given rise to a wealth of experiments in a wide variety of quantum platforms such as cold atoms, trapped ions, superconducting circuits and photonics networks [2,3,4,5]
Along this vein a quantum simulator can be used to implement an artificial dynamics that has only been conceived theoretically, such as the Majorana equation [11, 12] or even the action of a mathematical transformation such as charge conjugation [11, 12], time and spatial parity operations [13,14,15] or switching among particle statistics [16]. These transformations are unphysical, in the sense that there is no physical operation that directly implements them in the laboratory. Coordinate transformations are another instance of unphysical operation
In [13, 15] it is shown that linear coordinate transformations—including Galileo boosts—can be implemented in an embedded quantum simulator
Summary
The original conception of a quantum simulator [1] as a device that implements an involved quantum dynamics in a more amenable quantum system has given rise to a wealth of experiments in a wide variety of quantum platforms such as cold atoms, trapped ions, superconducting circuits and photonics networks [2,3,4,5]. In this work we show how to implement a Rindler transformation in an embedded quantum simulator. Our results allow to explore the non-relativistic regime—where we recover a Galileo boost, as expected—but the ultra-relativistic case as well, where the Rindler observer has been accelerated to velocities close to the speed of the light.
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