# Trajectories without quantum uncertainties

@article{Polzik2014TrajectoriesWQ, title={Trajectories without quantum uncertainties}, author={Eugene Simon Polzik and Klemens Hammerer}, journal={Annalen der Physik}, year={2014}, volume={527} }

Common knowledge suggests that trajectories of particles in quantum mechanics always have quantum uncertainties. These quantum uncertainties set by the Heisenberg uncertainty principle limit precision of measurements of fields and forces, and ultimately give rise to the standard quantum limit in metrology. With the rapid developments of sensitivity of measurements these limits have been approached in various types of measurements including measurements of fields and acceleration. Here it is…

## 45 Citations

Monitoring of dynamical phase-space trajectories with sub-Heisenberg indeterminacy

- Physics
- 2020

The Heisenberg uncertainty relation describes the fact that the phase-space trajectory of a single quantum system cannot be precisely determined with respect to semi-classical reference values to…

Quantum back-action-evading measurement of motion in a negative mass reference frame

- PhysicsNature
- 2017

It is shown that QBA on a macroscopic mechanical oscillator can be evaded if the measurement of motion is conducted in the reference frame of an atomic spin oscillator, and this hybrid quantum system paves the way to entanglement generation and distant quantum communication between mechanical and spin systems and to sensing of force, motion and gravity beyond the standard quantum limit.

Advanced quantum techniques for future gravitational-wave detectors

- PhysicsLiving Reviews in Relativity
- 2019

Quantum fluctuation of light limits the sensitivity of advanced laser interferometric gravitational-wave detectors. It is one of the principal obstacles on the way towards the next-generation…

Entanglement between distant macroscopic mechanical and spin systems

- PhysicsNature Physics
- 2020

Entanglement is an essential property of multipartite quantum systems, characterized by the inseparability of quantum states of objects regardless of their spatial separation. Generation of…

Quantum limits for stationary force sensing

- PhysicsPhysical Review A
- 2021

Interferometric force and position sensors have reached the sensitivity where the quantum noise of the meter, e.g., light, is significant or even dominant. In particular, this sensitivity is close to…

Quantum-mechanics-free subspaces in composite systems with incompatible energy spectra

- Physics
- 2021

It is well established that quantum back action (QBA) can be reduced (or even completely canceled) in composite systems by engineering so-called quantum-mechanics-free subspaces (QMFSs) of commuting…

Gravitational wave detection beyond the standard quantum limit using a negative-mass spin system and virtual rigidity

- PhysicsPhysical Review D
- 2019

Gravitational wave detectors (GWDs), which have brought about a new era in astronomy, have reached such a level of maturity that further improvement necessitates quantum-noise-evading techniques.…

Quantum non-demolition measurements of moving target states

- Physics
- 2022

We present a protocol for probing the state of a quantum system by its resonant coupling and entanglement with a meter system. By continuous measurement of a time evolving meter observable, we infer…

Subsystems for all-optical coherent quantum-noise cancellation

- Physics
- 2019

Quantum mechanics dictates that a measurement always disturb the measured system. In weak continuous measurements, the trade-off between measurement precision and back-action onto the system yields…

Optical backaction-evading measurement of a mechanical oscillator

- PhysicsNature Communications
- 2019

This work demonstrates a backaction-evading measurement of the motion of a nanomechanical beam using laser light, and observes up to 0.67 dB (14%) reduction of total measurement noise, thereby demonstrating the viability of backaction -evading measurements in nanomechical resonators for optical ultrasensitive measurements of motion and force.

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