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Quantum Correlations Reverse Thermodynamic Arrow of Time



Some laws should not be broken. Take the second law of thermodynamics, which states that entropy – a measure of disorder – never decreases in an isolated system. Glass breaks, cream spreads in the coffee, eggs crawl – but never vice versa. For this reason, heat always moves from hot to cold: this increases the total entropy. The law is so fundamental to our physical reality that some physicists believe it is responsible for the apparent flow of time.

However, as always, quantum systems have a way to introduce puzzling exceptions into seemingly inviolable rules. A team of physicists has spontaneously transferred the heat flow from a cold to a hot quantum object. The experiment emphasizes the intimate relationships between information, entropy, and energy explored in the emerging field of quantum thermodynamics.

The Brazil-based team adopted a molecule that consisted of one carbon atom, one hydrogen atom and three chlorine atoms. They then created a magnetic field to align the nuclear spins of the two quantum particles or "qubits" ̵

1; the carbon and hydrogen nuclei. As a result, the nuclei were joined or correlated, thereby becoming a single, inseparable whole, a two-qubit quantum state.

These correlations enabled the enigmatic behavior.

Traditionally, entropy is the measure of the number of different configurations a system can be. In a classical system, the entropy of a system is equal to the sum of the entropies of each part.

In the quantum world, correlations affect entropy. A two-qubit system can be in one of four possible states – labeled 00, 01, 10 and 11 – and its entropy is defined by the probability of being in each of these states. By comparing the entropy of each qubit with the entropy of the correlated system, researchers can measure the extent of the correlation.

The experiment begins with the two highly correlated particles. As the experiment progresses, the particles gradually separate and the correlation weakens. "That means that the sum of individual entropies will decrease," said Kaonan Micadei, a researcher at the Federal University of ABC in São Paulo, Brazil, who participated in the study.

If all entropy abruptly diminished, uncorrelated system would violate the second law. But here the researchers take into account the correlation. The weakening of the correlation is similar to a "fuel that drives the heat from the colder to the hotter body," said David Jennings, a physicist at Imperial College London. The cold qubit becomes colder, the hot qubit hotter. In other words, heat flows from cold to hot. This is because of "a trade-off between correlations and entropy," said Roberto Serra, a physicist at the Federal University of ABC and head of the research group behind the study.

The operation effectively reverses the arrow of time, at least in this isolated system. "The thermodynamic arrow of time is based on the idea that the entropy of a closed system can only increase or remain constant, but never diminish," said Micadei. "By creating an isolated system in the lab where entropy decreases, the time-arrow in the system should point in the opposite direction."

The results show that "the arrow of time is not an absolute concept, it depends heavily on the choice of initial conditions – so it's relative," Serra said.

The effect had been predicted, but this was the first time that the reversal was achieved in a physical system. "It's a nice experimental demonstration of a long-standing physical effect," said Seth Lloyd, a physicist at the Massachusetts Institute of Technology and a quantum information expert.

However, researchers have played with the arrow of the time before. In 2012, a team from ESPCI ParisTech and CNRS in France brought water waves back to their original path and reversed the mathematical description of the wave in time. And in 2016, another team verified a universal formula to distinguish the direction of the time arrow with a so-called quantum dot.

While the current paper does not bring us closer to building a time machine, it could have important implications for the true world. Mauro Paternostro, a physicist at Queen's University in Belfast, is researching ways to use similar effects to develop quantum heat pumps with unbelievably high efficiency. "The possibilities offered by a large-scale quantum thermo-machine will be unbelievably greater than those of its microscopic versions."

The work could also influence thinking about the origins of the universe. A long-standing mystery of cosmology is why the universe began in such a low-entropy configuration, which increased entropy throughout the entire history of the cosmos (and presumably left time to flow). By combining entropy and entanglement, Serra hopes the experiment could have "stimulating consequences" for discussion of the cosmological arrow of time.

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A Recent experiment shows how quantum mechanics can cause the heat flow from a cold to a hot body, an apparent (though not genuine) violation of the second law of thermodynamics.

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Guedda Hassan Mohamed

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Some laws aren’t meant to be broken. Take the second law of thermodynamics, which states that entropy — a measure of disorder — never decreases in an isolated system. Glass shatters, cream disperses in coffee, eggs scramble — but never the reverse. This is why heat always moves from hot to cold: Doing so increases the overall entropy. The law is so fundamental to our physical reality that some physicists believe it is responsible for the apparent flow of time.

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Yet quantum systems, as ever, have a way of introducing puzzling exceptions to what seem like inviolable rules. A team of physicists has made heat flow spontaneously from a cold quantum object to a hot one. The experiment underscores the intimate relationships between information, entropy and energy that are being explored in the nascent field of quantum thermodynamics.

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The team, based in Brazil, took a molecule that consisted of a carbon atom, a hydrogen atom and three chlorine atoms. They then generated a magnetic field to align the nuclear spins of the two quantum particles, or “qubits” — the carbon and hydrogen nuclei. This caused the nuclei to become linked, or correlated, turning them into a single, inseparable whole, a two-qubit quantum state.

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These correlations made the puzzling behavior possible.

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Traditionally, entropy is the measure of the number of different configurations a system can be in. In a classical system, the entropy of a system is equal to the sum of the entropies of each of its parts.

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In the quantum world, correlations affect entropy. A two-qubit system can be in one of four possible states — denoted by 00, 01, 10 and 11 — and its entropy is defined by the probability of being in each of these states. By comparing the entropy of the single qubits to the entropy of the correlated system, researchers can measure the amount of correlation.

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The experiment begins with the two particles strongly correlated. As the experiment progresses, the particles gradually unlink themselves, and the correlation weakens. “That means that the sum of the individual entropies decreases,” said Kaonan Micadei, a researcher at the Federal University of ABC in São Paulo, Brazil, who participated in the study.

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If the total entropy suddenly decreased in a regular, uncorrelated system, it would violate the second law. But here, the researchers take the correlation into account. The weakening of the correlation is akin to a “fuel driving the heat from the colder to the hotter body,” said David Jennings, a physicist at Imperial College London. The cold qubit gets colder, the hot qubit hotter. In other words, heat flows from cold to hot. This occurs because of “a trade-off between correlations and entropy,” said Roberto Serra, a physicist at the Federal University of ABC and the head of the research group behind the study.

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The operation effectively reverses the arrow of time, at least in this isolated system. “The thermodynamic arrow of time relies on the notion that the entropy of a closed system can only increase or remain constant, but never decrease,” Micadei said. “By creating in the lab an isolated system where the entropy decreases, in the system the arrow of time should point to the opposite direction.”

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The results show that “the arrow of time is not an absolute concept; it strongly depends on the choice of initial conditions — so it’s relative,” Serra said.

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The effect had been predicted, but this was the first time the reversal was achieved in a physical system. “It’s a nice experimental demonstration of a long-known physical effect,” said Seth Lloyd, a physicist at the Massachusetts Institute of Technology and expert on quantum information.

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Researchers have toyed with the arrow of time before, however. In 2012, a team from ESPCI ParisTech and CNRS in France coaxed water waves to retrace their original path, reversing the wave’s mathematical description in time. And in 2016, another team verified a universal formula to distinguish the direction of time’s arrow using a so-called quantum dot.

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While the current paper won’t bring us closer to building a time machine, it might have important implications for the real world. Mauro Paternostro, a physicist at Queen’s University Belfast, is researching ways to use similar effects to create quantum heat pumps that have incredibly high efficiency. “The opportunities offered by a large-scale quantum thermo-machine will be incredibly larger than those of their microscopic versions,” he said.

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The work could also influence thinking about the origins of the universe. One long-standing puzzle of cosmology is why the universe began in such a low-entropy configuration, allowing entropy to increase throughout the history of the cosmos (and, presumably, allowing time to flow). By connecting entropy to entanglement, Serra hopes that the experiment might have “stimulating consequences” for discussions about the cosmological arrow of time. ­­

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