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Communications Physics

Nonlinear bosonic Maxwell’s demon by coupling to qubits

Atirach Ritboon, Radim Filip

Published Feb 21, 2024• 0 citations
Publisher

Abstract

Abstract The concept of Maxwell’s demon, proposed in classical physics as a means to extract work from a thermodynamics system beyond the constraints set by the second law of thermodynamics, has since been extended to modern quantum physics. Realization of the quantum Maxwell’s demon remains of actual interest given the potential of continuous-variable systems in quantum thermodynamics and current experimental opportunities. We propose a quantum Maxwell’s demon method, based on a Jaynes-Cummings two-level system, for subtracting bosonic energy inferred from successful measurements of excited qubits after linear and nonlinear interactions. The effect of these subtractions can suppress the tails of bosonic noise better than the linear interactions alone. The system statistics reaches an out-of-equilibrium state, becoming much closer to Poissonian distributions as indicated by the mean-to-noise ratio. The inclusion of a few additional optimal nonlinear subtractions can improve the success rate to ten times higher than the linear scheme, making the method significantly more efficient in exciting hundreds of qubits.

DOI
10.1038/s42005-024-01546-4

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Abstract The concept of Maxwell’s demon, proposed in classical physics as a means to extract work from a thermodynamics system beyond the constraints set by the second law of thermodynamics, has since been extended to modern quantum physics. Realization of the quantum Maxwell’s demon remains of actual interest given the potential of continuous-variable systems in quantum thermodynamics and current experimental opportunities. We propose a quantum Maxwell’s demon method, based on a Jaynes-Cummings two-level system, for subtracting bosonic energy inferred from successful measurements of excited qubits after linear and nonlinear interactions. The effect of these subtractions can suppress the tails of bosonic noise better than the linear interactions alone. The system statistics reaches an out-of-equilibrium state, becoming much closer to Poissonian distributions as indicated by the mean-to-noise ratio. The inclusion of a few additional optimal nonlinear subtractions can improve the success rate to ten times higher than the linear scheme, making the method significantly more efficient in exciting hundreds of qubits.
Abstract Maxwell's demon principle of extracting valuable resources through measuring fluctuations in the system already stimulated modern quantum physics. In contrast to classical physics, a free coupling to a probe and its free measurement fundamentally shape the system state. This becomes a new dimension of the Maxwell demon effect, as in addition to the gained information, the back action on the system can be exploited and essential for further applications. We investigate quantum bosonic Maxwell's demon nonlinearly coupled to a two-level system to shift its paradigm to quantum nonlinear physics. The deterministic multiple subtractions of single energy quantum by an energetically conservative Jaynes-Cummings interaction leads to an out-of-equilibrium state. Although still super-Poissonian, it can resonantly excite another two-level system better than any thermal state. Making use of an already available and energetically conserved nonlinear Jaynes-Cummings to absorb multiple bosons, nonlinear subtractions can exclusively suppress the tails of bosonic noise to reach an out-of-equilibrium state whose statistics and mean-to-noise ratio are close to that of Possonian distributions. The improvement becomes significant for successfully exciting hundreds of qubits as including few additional optimal nonlinear subtractions can improve the success rate 10 times higher than the linear scheme.
Energy extraction from a measured quantum system is a cornerstone of information thermodynamics as illustrated by Maxwell's demon. The nonequilibrium physics of many-particle systems is additionally strongly influenced by quantum statistics. We here report the first experimental realization of a quantum demon in a many-particle photonic setup made of two identical thermal light beams. We show that single-photon measurements combined with feedforward operation may deterministically increase the mean energy of one beam faster than energy fluctuations, thus improving the thermodynamic stability of the device. We moreover demonstrate that bosonic statistics can enhance the energy output above the classical limit, and further analyze the counterintuitive thermodynamics of the demon using an information-theoretic approach. Our results underscore the pivotal role of many-particle statistics for enhanced energy extraction in quantum thermodynamics.
Maxwell's demon elucidates the value of information in thermodynamics, using measurement and feedback: he evolves an equilibrated gas into a nonequilibrium state, from which one might extract work. The demon can evolve the system farther from equilibrium, on average, if the particles obey Bose-Einstein statistics than if they are distinguishable. We experimentally support this decade-and-a-half-old prediction by comparing indistinguishable with distinguishable photons. We use a fully programmable linear-optics platform, whose local photon statistics were shown recently to behave thermally. Our demon nondestructively measures the number of photons in a subset of the modes. Guided by the outcome, he conditionally interchanges the measured and unmeasured modes. This interchange creates a positive temperature difference between a mode in a particular subset and a mode in the other. The temperature difference is greater, on average, if the photons are indistinguishable. This result bolsters a long-standing prediction about the interplay among thermodynamics, information, and quantum particle statistics. Additionally, this work suggests a thermodynamic means of weakly validating boson-sampling platforms.
Maxwell's demon explores the role of information in physical processes.Employing information about microscopic degrees of freedom, this "intelligent observer" is capable of compensating entropy production (or extracting work), apparently challenging the second law of thermodynamics.In a modern standpoint, it is regarded as a feedback control mechanism and the limits of thermodynamics are recast incorporating information-to-energy conversion.We derive a trade-off relation between information-theoretic quantities empowering the design of an efficient Maxwell's demon in a quantum system.The demon is experimentally implemented as a spin-1=2 quantum memory that acquires information, and employs it to control the dynamics of another spin-1=2 system, through a natural interaction.Noise and imperfections in this protocol are investigated by the assessment of its effectiveness.This realization provides experimental evidence that the irreversibility in a nonequilibrium dynamics can be mitigated by assessing microscopic information and applying a feed-forward strategy at the quantum scale.
A Maxwell's demon is a device that gets information and trades it in for thermodynamic advantage, in apparent (but not actual) contradiction to the second law of thermodynamics. Quantum-mechanical versions of Maxwell's demon exhibit features that classical versions do not: in particular, a device that gets information about a quantum system disturbs it in the process. This paper proposes experimentally realizable models of quantum Maxwell's demons, explicates their thermodynamics, and shows how the information produced by quantum measurement and by decoherence acts as a source of thermodynamic inefficiency.
The Second Law of thermodynamics states that the entropy of the isolated system is non-diminishing in the course of time evolution. In quantum systems, the Second Law can be violated by adding to the system the quantum Maxwell’s demon (QMD) which reduces entropy without energy exchange. However, extending the system by including into it the QMD itself, restores the Second Law. Remarkably, enlarging system with one more demon we return to the initial situation. Therefore by sequential adding the QMD, we can construct the energy-conserving macroscopic system which evolves in time with decreasing the entropy. Here we demonstrate this general principle on the IBM quantum computer how extending the system by one extra qubit, we still observe the entropy decreasing, thus violating the second law. We utilize five QMD implemented by the extra qubits since decoherence effects restrict the number of possible qubit additions.