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How Acceleration Turns Vacuum into a Hot Bath ⚡ экспресс

Original: "Quantum Mpemba-like effect in Unruh thermalization"
arXiv:2509.05756 · 2025-09-06 · CC BY 4.0 · ⏱ 1 min · HEP Theory Quantum Physics
The Unruh effect: an accelerating observer feels warmth from empty space.
Abstract

Within the framework of quantum thermodynamics, the thermal nature of the Unruh effect is reexamined. For an Unruh-DeWitt detector in n-dimensional Minkowski spacetime, it is shown that irreversible thermalization to Gibbs equilibrium follows different trajectories on the Bloch sphere depending on the types of interacting fields and spacetime dimensionality. Using process functions—quantum coherence and heat, which enter the quantum first law—Unruh thermalization is characterized through the extra time evolution of the rates of these functions. Based on information geometry, the kinematics of the detector state are studied, and heating/cooling protocols are proposed. A quantum analogue of the Mpemba effect is found: heating occurs faster than cooling in terms of the change in Uhlmann fidelity distance. It is established that the maximum fidelity difference serves as a diagnostic criterion distinguishing Unruh thermalization from classical thermalization of an inertial detector in a thermal bath. This criterion could become a signature of the quantum nature of the Unruh effect in future experiments. It is also shown that for states with equal fidelity and evolution, Mpemba-like behavior persists.

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Stand still in empty space, and you feel nothing. Accelerate, and a hot wind seems to blow. The William Unruh effect shows that an accelerating observer sees vacuum as full of heat.

Like a runner plunging through chilly air and feeling a hot wind, a speeding particle detects warmth where none was.

A particle thermometer accelerated through a vacuum heats up to a steady temperature measured by entropy. Its path to equilibrium depends on the invisible field and dimensions. Surprisingly, it heats faster than it cools—a quantum Mpemba effect. A distinctive signal—a sharp change in the detector's response—distinguishes Unruh heating from ordinary thermal contact.

This offers a lab test for the Unruh effect, deepening its link to gravity: accelerated motion mimics a spacetime curvature, like near a black hole, a connection explored by Stephen Hawking and Bryce DeWitt. Perhaps the most startling implication: empty space is never truly silent—it only waits for a fast enough listener.

🎯 To feel a warm vacuum at room temperature, you’d need an acceleration 10 billion times stronger than Earth’s gravity—luckily, particles can experience that in particle accelerators.

🎬 The idea of extracting heat from empty space echoes the ‘zero-point energy’ machines often imagined in science fiction.

Scientists
Stephen HawkingJacob BekensteinAlbert EinsteinFritz ZwickyVera RubinBernhard Riemann
Tags
entropy black hole spacetime curvature
Laws
second law of thermodynamicsHawking radiationgravitational lensingBekenstein-Hawking entropyEinstein field equationsBoltzmann distribution
Original: arXiv:2509.05756 · CC BY 4.0 · bridge42worlds