An atomic clock including an ion trap assembly, a C-field coil positioned for generating a first magnetic field in the interrogation region of the ion trap assembly, a compensation coil positioned for generating a second magnetic field in the interrogation region, wherein the combination of the first and second magnetic fields produces an ion number-dependent second order Zeeman shift (Zeeman shift) in the resonance frequency that is opposite in sign to an ion number-dependent second order Doppler shift (Doppler shift) in the resonance frequency, the C-field coil has a radius selected using data indicating how changes in the radius affect an ion-number-dependent shift in the resonance frequency, such that a difference in magnitude between the Doppler shift and the Zeeman shift is controlled or reduced, and the resonance frequency, including the adjustment by the Zeeman shift, is used to obtain the frequency standard.

A millimeter wave apparatus, with a substrate, a transceiver in a first fixed position relative to the substrate, and a gas cell in a second fixed position relative to the substrate. The clock apparatus also comprises at least four waveguides.

A millimeter wave apparatus, with a substrate, a transceiver in a first fixed position relative to the substrate, and a gas cell in a second fixed position relative to the substrate. The clock apparatus also comprises at least four waveguides.

An atomic oscillator including an oscillator that outputs an oscillation signal, a light emitter to which a signal based on the oscillation signal is inputted, an atomic cell, a light receiver that detects the light passing through the atomic cell and outputs a detection signal, a first temperature controller, and a control circuit, and the control circuit has a first mode including the process of operating the light emitter and the first temperature controller and the process of causing the oscillator to output the oscillation signal, a second mode including the process of causing the light emitter and the first temperature controller to stop operating and the process of causing the oscillator to stop outputting the oscillation signal, and a third mode including the process of causing the light emitter to stop operating, the process of operating the first temperature controller, and the process of causing the oscillator to stop outputting the oscillation signal.

An atomic oscillator including an oscillator that outputs an oscillation signal, a light emitter to which a signal based on the oscillation signal is inputted, an atomic cell, a light receiver that detects the light passing through the atomic cell and outputs a detection signal, a first temperature controller, and a control circuit, and the control circuit has a first mode including the process of operating the light emitter and the first temperature controller and the process of causing the oscillator to output the oscillation signal, a second mode including the process of causing the light emitter and the first temperature controller to stop operating and the process of causing the oscillator to stop outputting the oscillation signal, and a third mode including the process of causing the light emitter to stop operating, the process of operating the first temperature controller, and the process of causing the oscillator to stop outputting the oscillation signal.

In a described example, an apparatus includes: a package substrate having a device side surface and a board side surface opposite the device side surface; a physics cell mounted on the device side surface having a first end and a second end; a first opening extending through the package substrate and lined with a conductor, aligned with the first end; a second opening extending through the package substrate and lined with the conductor, aligned with the second end; a millimeter wave transmitter module on the board side, having a millimeter wave transfer structure including a transmission line coupled to an antenna aligned with the first opening; and a millimeter wave receiver module mounted on the board side surface of the package substrate and having a millimeter wave transfer structure including a transmission line coupled to an antenna for receiving millimeter wave signals, aligned with the second opening.

In a described example, an apparatus includes: a package substrate having a device side surface and a board side surface opposite the device side surface; a physics cell mounted on the device side surface having a first end and a second end; a first opening extending through the package substrate and lined with a conductor, aligned with the first end; a second opening extending through the package substrate and lined with the conductor, aligned with the second end; a millimeter wave transmitter module on the board side, having a millimeter wave transfer structure including a transmission line coupled to an antenna aligned with the first opening; and a millimeter wave receiver module mounted on the board side surface of the package substrate and having a millimeter wave transfer structure including a transmission line coupled to an antenna for receiving millimeter wave signals, aligned with the second opening.

This atomic resonator for causing a resonance frequency by CPT resonance includes: a gas cell having alkali metal atoms enclosed; a photodetector configured to detect light having passed through the gas cell and convert the light to an electric signal; a high-frequency oscillator configured to receive the electric signal and output the signal after a frequency thereof is divided by two; and a laser light source configured to modulate and introduce, into the gas cell, light based on the signal output from the high-frequency oscillator. The high-frequency oscillator has an injection-locked frequency divider circuit including an acoustic resonator as an oscillation element.

This atomic resonator for causing a resonance frequency by CPT resonance includes: a gas cell having alkali metal atoms enclosed; a photodetector configured to detect light having passed through the gas cell and convert the light to an electric signal; a high-frequency oscillator configured to receive the electric signal and output the signal after a frequency thereof is divided by two; and a laser light source configured to modulate and introduce, into the gas cell, light based on the signal output from the high-frequency oscillator. The high-frequency oscillator has an injection-locked frequency divider circuit including an acoustic resonator as an oscillation element.

An ensemble of spin defect centers or other atom-like quantum systems in a solid-state host can be used as a compact alternative for an atomic clock thanks to an architecture that overcomes magnetic and temperature-induced systematics. A polariton-stabilized solid-state spin clock hybridizes a microwave resonator with a magnetic-field-insensitive spin transition within the ground state of a spin defect center (e.g., a nitrogen vacancy center in diamond). Detailed numerical and analytical modeling of this polariton-stabilized solid-state spin clock indicates a potential fractional frequency instability below 10.sup.-13 over a 1-second measurement time, assuming present-day experimental parameters. This stability is a significant improvement over the state-of-the-art in miniaturized atomic vapor clocks.