I just wonder how it work and if it really provide atomic-level precision

It is not GPS based

LBE-1602 Instant-On Precision Oscillator
The LBE-1602 delivers rubidium-grade frequency stability with zero warm-up delay, housed in a compact, sleek enclosure designed for portability. With an adjustable output spanning 30 kHz to 300 MHz at 3.3 V, it’s a versatile timing core for portable test gear, high-performance communication modules, and timing-critical systems — offering atomic-level precision without the bulk or boot time.
Drawing just 80 mA, the LBE-1602 is ideal for low-power applications where efficiency matters. Whether you’re reclocking high-speed data, deploying scientific instruments, or backing up GPS-disciplined systems, it powers up instantly and holds steady.
Key Features
Instant Power-Up: Ready within milliseconds — no warm-up required
Rubidium-Grade Stability: Exceptional short- and long-term frequency accuracy
Adjustable Output: 30 kHz to 300 MHz at 3.3 V logic level
Compact & Portable: Sleek enclosure fits into mobile setups and field kits
Low Power Consumption: Operates efficiently at just 80 mA
https://www.leobodnar.com/shop/index.php?main_page=product_info&cPath=148&products_id=644