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Demonstrating geometric phase acquisition in multi-path tunnel systems using a near-term quantum computer

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Quantum computers have shown promise in simulating quantum many-body physics, even under the constraints that arise due to limitations in the number of qubits involved. Considering the effects of tunneling,… Click to show full abstract

Quantum computers have shown promise in simulating quantum many-body physics, even under the constraints that arise due to limitations in the number of qubits involved. Considering the effects of tunneling, backscattering and the accumulation of a geometric phase, we see the possibility of simulating weak anti-localization (WAL), in addition to the weak localization in a multi-path system. We show how a quantum simulator works through the construction of multiple scattering centers in closed paths and tunnel barriers yielding a large return probability (Pr) for electrons. A combination of inter- and intra-layer tunneling in a double-path circuit creates a phase reversal and subsequently the WAL effect. Incorporation of such arrangements of tunnel barriers can add a geometric phase and demonstrate Aharonov–Bohm-type Φ0 and Φ0/2 oscillations in a ring and a tube, respectively. Finally, the angle dependence of Pr shows a phase reversal in the two-path circuit caused by the inter-path resonance.

Keywords: phase; tunnel; physics; path; multi path; geometric phase

Journal Title: Journal of Applied Physics
Year Published: 2021

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