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Signal amplification in a solid-state sensor through asymmetric many-body echo

MetadataDetails
Publication Date2025-10-01
JournalNature
AuthorsHaoyang Gao, Leigh S. Martin, Lillian Hughes, Nathaniel Leitao, Piotr Put
InstitutionsUniversity of California, Santa Barbara, QuEra Computing (United States)
Citations1
AnalysisFull AI Review Included

This research demonstrates a breakthrough in solid-state quantum sensing by achieving significant signal amplification in a room-temperature nitrogen-vacancy (NV) center ensemble in diamond.

  • Core Achievement: Experimental demonstration of 6.7(6)% signal amplification in a solid-state, room-temperature quantum sensor using many-body dynamics.
  • Novel Mechanism: The amplification is achieved using an asymmetric time-reversed echo protocol, where the backward evolution time equals twice the forward time (t- = 2t+), contrasting sharply with conventional symmetric echoes.
  • Technical Implementation: Two-Axis Twisting (TAT) dynamics were engineered via a combination of Floquet control sequences and dynamic control of the NV quantization axis (using a strong external magnetic field, Bext).
  • Overcoming Anisotropy: Dynamic control of the quantization axis (neff, perpendicular to the 2D plane) was crucial to mitigate the short-ranged, anisotropic nature of the dipolar interactions inherent to the NV system.
  • Performance Boost: An auxiliary pulsed magnetic field was used during initialization and readout, improving the initial spin polarization by a factor of 4 and yielding a 4,000-fold improvement in data averaging speed.
  • Theoretical Insight: The optimal asymmetric echo performance is explained by an underlying time-reversed mirror symmetry of the microscopic Hamiltonian dynamics, providing a robust mechanism for quantum enhancement.
ParameterValueUnitContext
Maximum Signal Amplification6.7(6)%Achieved via asymmetric echo (t- = 2t+)
Initial Spin Polarization Improvement4FactorAchieved via auxiliary pulsed B field
Data Averaging Speed Improvement4,000FactorResult of polarization enhancement
Diamond Orientation(100)Crystal AxisSubstrate orientation
Epilayer Isotopic Purity99.998%12C isotopically purified epilayer
NV Layer Thickness (FWHM)9nm15N delta-doped layer
NV Areal Density (1 group)19ppm nmCharacterized by T2,XY8 decay
P1 Center Areal Density (Upper Bound)230ppm nmCharacterized by Ramsey T2 decay
XY8 Coherence Time (T2,XY8)6.47”sNative quantization axis (nnative)
External Magnetic Field (Bext)~890GUsed to set engineered quantization axis (neff)
Pulsed Magnetic Field Strength168GUsed during twisting dynamics
Qubit Frequency (fqubit)712.24MHzDuring twisting dynamics
Readout Frequency (fread)660MHzDuring initialization/readout
TAT Pulse Duration (tπ/2)12nsFloquet sequence timing
TAT Pulse Spacing (tτ)3nsFloquet sequence timing
Pulsed Current Rise Time3”sCustom current source
Pulsed Current Fall Time7”sCustom current source
Qubit Frequency Stability±0.3MHzAchieved via feedback control

The experiment relies on advanced diamond growth and precise quantum control techniques to engineer the required many-body dynamics in a 2D NV ensemble.

  1. Diamond Sample Fabrication (CVD):

    • Substrate: (100)-oriented electronic grade diamond, polished (200-300 pm roughness), and etched (4-5 ”m) to relieve strain.
    • Growth: Homoepitaxial growth via plasma-enhanced CVD (750 W, 25 torr, ~790 °C). A 420 nm thick 12C epilayer was grown.
    • Delta Doping: A 9 nm thick 15N layer was created by introducing 1.0% 15N2 gas during a 30-minute doping period, confining NV centers to a 2D plane.
  2. NV Center Generation and Stabilization:

    • Irradiation: Sample subjected to 200 keV electron irradiation (dose 2.8 x 1020 e cm-2) using a TEM.
    • Annealing: Subsequent annealing at 850 °C (6 h in Ar/H2) to facilitate vacancy diffusion and NV center formation.
    • Surface Treatment: Cleaned in boiling triacid solution and annealed in air at 450 °C for oxygen termination, stabilizing the NV- charge state.
  3. Dynamic Quantization Axis Control:

    • A strong external magnetic field (Bext ~890 G) was applied to shift the quantization axis (neff) perpendicular to the 2D NV plane. This configuration minimizes dipolar anisotropy, enabling uniform-signed twisting interactions across the ensemble.
    • A custom voltage-controlled current source delivered a pulsed field (168 G) with slow rise/fall times (3 ”s/7 ”s) to ensure adiabatic switching of the quantization axis during initialization and readout, avoiding polarization loss.
  4. Engineering Two-Axis Twisting (TAT) Dynamics:

    • The TAT Hamiltonian was engineered from the native XXZ Hamiltonian using Floquet engineering (a periodic driving sequence).
    • The sequence utilized a modified XY16 decoupling scheme where every π-pulse along the X-direction was replaced by a 3π-pulse to explicitly break U(1) symmetry, which is necessary for TAT.
    • Precise pulse timings (tπ/2 = 12 ns, tτ = 3 ns) were chosen to satisfy the effective Hamiltonian conditions and decouple high-frequency disorder components.
  5. Asymmetric Time-Reversed Echo Protocol:

    • The sensing rotation (simulated by explicit microwave driving) was sandwiched between a forward evolution (t+) and a backward evolution (t-) under the engineered TAT Hamiltonian.
    • Time reversal was achieved using a π/2-pulse to switch the spin operators (σx ↔ σz).
    • Optimal signal amplification was experimentally found at the asymmetric ratio t- = 2t+, maximizing the distance between the amplified states.

The demonstrated signal amplification technique significantly enhances the metrological performance of NV diamond sensors, opening new avenues for practical quantum technologies operating outside cryogenic environments.

  • Quantum Sensing and Metrology:

    • Entanglement-Enhanced Sensors: Provides a robust, generic mechanism for achieving quantum enhancement in precision measurements using disordered, short-range coupled solid-state systems.
    • Micro- and Nanoscale Magnetometry: Enables the development of highly sensitive, room-temperature magnetic sensors for applications requiring high spatial resolution.
  • Biomedical and Pharmaceutical Industries:

    • In Vivo Sensing: NV centers are biologically compatible, allowing for enhanced sensing of magnetic fields, temperature, and chemical species within living cells and tissues.
    • Drug Discovery: Improved sensitivity for characterizing molecular structures and dynamics, potentially aiding in the development of new pharmaceuticals.
  • Materials Science and Condensed Matter Physics:

    • Characterization of Novel Materials: High-fidelity probing of local magnetic environments and dynamics in new quantum materials and thin films under ambient conditions.
  • Quantum Information Processing:

    • The control techniques (Floquet engineering, TAT, and time-reversed echoes) are critical tools for manipulating and protecting quantum coherence in solid-state spin ensembles, relevant for quantum simulation and computation architectures.