Time Reversal and Charge Conjugation in an Embedding Quantum Simulator

Abstract

The understanding of symmetry operations has brought enormous advancements in physics, ranging from elementary particle to condensed matter systems. In quantum mechanics, symmetry operations are described by either unitary or antiunitary operators, where the latter are unphysical transformations that cannot be realized in physical systems. So far, quantum simulators of unitary and dissipative processes, the only allowed physical dynamics, have been realized in key experiments. Here, we present an embedding quantum simulator able to encode unphysical operations in a multilevel single trapped ion. In this sense, we experimentally observe phenomena associated with the nonunitary Majorana dynamics and implement antiunitary symmetry operations, i.e., time reversal and charge conjugation, at arbitrary evolution times. These experiments enhance the toolbox of quantum simulations towards applications involving unphysical operations.

13+12 pages, 3+1 figures

References in corpus (6)

• The electronic properties of graphene
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Quantum simulation of the Klein paradox with trapped ions
• State-independent experimental tests of quantum contextuality in a three dimensional system
• The "Majoranon" and how to realize it in a tabletop experiment
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• Tachyon physics with trapped ions
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• Statistical properties of linear Majorana fermions
• Modular Quantum Computation in a Trapped Ion System
• Detecting topological exceptional points in a parity-time symmetric system with cold atoms
• Quantum simulation of traversable wormhole spacetimes in a Bose-Einstein condensate
• Mapping curved spacetimes into Dirac spinors
• Experimental demonstration of a measurement-based realisation of a quantum channel
• A note on superposition of two unknown states using Deutsch CTC model
• Nonlinear and non-CP gates for Bloch vector amplification
• Time and spatial parity operations with trapped ions
• Operational effects of the UNOT gate on classical and quantum correlations
• Switchable Particle Statistics with an Embedding Quantum Simulator
• Dynamics of Majorana fermions in two-dimensions
• Studies of symmetries that give special quantum states the "right to exist"
• Quantum simulation of Rindler transformations
• Continuous monitoring measured signals bounded by past and future conditions in enlarged quantum systems
• Non-locality of conjugation symmetry: characterization and examples in quantum network sensing