2025/07/24 by Dhruv Deshmukh, Raúl B. González, Deshmukh, Dhruv +11 · 2 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Chaos control and synchronization #Theoretical and Computational Physics
paper · pdf · doi:10.1103/wj1t-vk39
One of the prime features of quantum systems strongly driven by external time-periodic fields is the subharmonic response with integer multiples of the drive period <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:mrow> <a:mi>k</a:mi> <a:mspace width="0.16em"/> <a:msub> <a:mi>T</a:mi> <a:mi>d</a:mi> </a:msub> </a:mrow> </a:math> due to long-lived interference. Here, we demonstrate experimentally, based on a careful theoretical analysis, period doubling and higher multiplicities ( <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"> <c:mrow> <c:mi>k</c:mi> <c:mo>=</c:mo> <c:mn>2</c:mn> <c:mo>,</c:mo> <c:mo>...</c:mo> <c:mo>,</c:mo> <c:mn>5</c:mn> </c:mrow> </c:math> ) for one of the most fundamental systems, namely, an individual spin <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"> <d:mrow> <d:mn>1</d:mn> <d:mo>/</d:mo> <d:mn>2</d:mn> </d:mrow> </d:math> . Nitrogen-vacancy centers in diamond support sufficiently stable coherent dynamics owing to long coherence times and allow for optical addressability of their spin states. This allows to monitor coherent period <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"> <e:mi>k</e:mi> </e:math> -tupling oscillations over a broad set of driving parameters in the vicinity of the ideal manifolds. In this domain, superimposed low-frequency modulations serve as unique proxy for the approach toward period <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"> <f:mi>k</f:mi> </f:math> -tupling.