Heat capacity catches quantum entanglement in time ⚡ экспресс
A method is proposed for registering temporal quantum entanglement via the imaginary part of the complex heat capacity, measured in temperature-modulated calorimetry. A correspondence is established with the pseudo-density matrix, allowing characterization of spatial and temporal correlations without extra operations beyond tomography. It is analytically shown for a qubit in a thermal bath that pseudo-density matrix negativity and violation of the temporal CHSH inequality emerge as signatures of nonclassical temporal correlations. Bounds on the imaginary heat capacity that guarantee time-entanglement are derived, providing an experimentally accessible criterion at the macroscale. This scheme opens a route to detecting temporal quantum effects in condensed matter systems.
A pot of soup remembers being stirred. When heated, the temperature rises with a lag—the soup seems to glance back at the past. This thermal inertia opens a window into quantum connections between events at different times. At its root lies entropy, but the quantum world adds a layer of memory where particles influence each other across time.
Physicists found a way to decode this memory by adapting the criterion from the Clauser–Aspect–Zeilinger inequality for time. When thermal lag becomes large and uneven, it proves temporal quantum entanglement. Surprisingly, detecting it doesn't require microscopic particles—even ordinary water will do. This method takes quantum physics beyond the standard models of the microworld.
🎯 Usually heat capacity is just a number, but with uneven heating an imaginary component appears—a sign that the material is "oscillating" between past and present. A familiar kitchen experience: a cast-iron skillet responds slowly to the flame, and hidden in that lag is a quantum subtext.
🎬 The thermal memory of soup isn't a metaphor, but a physical bridge between "before" and "after," like in the best science fiction novels.