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Bulletin of the American Physical Society

Critical point behaviour of a measurement-based quantum heat engine

Suman Chand, Asoka Biswas

Published Mar 4, 2019• 0 citations
OpenAlex

Abstract

Long-range interaction among the particles can substantially enhance the efficiency of a quantum Otto engine, around quantum criticality. We demonstrate this with two trapped ions driven by variable magnetic field, using a measurement-assisted cooling protocol.

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Critical-point behaviour of a measurement-based quantum heat engine

Suman Chand, Asoka Biswas

Long-range interaction among the particles can substantially enhance the efficiency of a quantum Otto engine, around quantum criticality. We demonstrate this with two trapped ions driven by variable magnetic field, using a measurement-assisted cooling protocol.

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Critical-point behavior of a measurement-based quantum heat engine

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We study how a quantum heat engine performs across the critical value of an external parameter, pertaining to the quantum phase transition. Considering a two-ion system subjected to a magnetic field, we show that the system performs in a quantum Otto cycle above a critical value of the magnetic field, while below such critical point, it does not operate in a heat cycle at all. Moreover, at the critical point, its interaction with an ancillary ion deteriorates the performance of the system as a heat engine. We further show that a strong interaction between the constituent ions of an ion-based system is crucial for it to work in a heat-work cycle, while the coupling to the ancillary system must be minimized.

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A novel quantum Otto heat engine that operates within a finite-time framework by incorporating measurement procedures is proposed. Departing from conventional quantum Otto heat engines, our model replaces the heat absorption process from a high-temperature source with invasive measurement. Moreover, we consider finite-time thermodynamic manipulation in each step. Our model focuses on exploring the effects of the angles of the measurement basis on the Bloch sphere and the timings of time-dependent evolutions on thermodynamic properties, with a specific emphasis on the trade-off between the power output and the efficiency. Our findings demonstrate that by carefully selecting specific parameters, the efficiency and overall performance of this heat engine can be significantly enhanced.

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Measurement-based quantum Otto engine with a two-spin system coupled by anisotropic interaction: Enhanced efficiency at finite times

Chayan Purkait, Asoka Biswas

We have studied the performance of a measurement-based quantum Otto engine (QOE) in a working system of two spins coupled by Heisenberg anisotropic interaction. A nonselective quantum measurement fuels the engine. We have calculated thermodynamic quantities of the cycle in terms of the transition probabilities between the instantaneous energy eigenstates, and also between the instantaneous energy eigenstates and the basis states of the measurement, when the unitary stages of the cycle operate for a finite time τ. The efficiency attains a large value in the limit of τ→0 and then gradually reaches the adiabatic value in a long-time limit τ→∞. For finite values of τ and for anisotropic interaction, an oscillatory behavior of the efficiency of the engine is observed. This oscillation can be interpreted in terms of interference between the relevant transition amplitudes in the unitary stages of the engine cycle. Therefore, for a suitable choice of timing of the unitary processes in the short time regime, the engine can have a higher work output and less heat absorption, such that it works more efficiently than a quasistatic engine. In the case of an always-on heat bath, in a very short time, the bath has a negligible effect on its performance.

arXiv:2304.05877•Physical review. E•May 8, 2023•17 citations
We study how a quantum heat engine performs across the critical value of an external parameter, pertaining to the quantum phase transition. Considering a two-ion system subjected to a magnetic field, we show that the system performs in a quantum Otto cycle above a critical value of the magnetic field, while below such critical point, it does not operate in a heat cycle at all. Moreover, at the critical point, its interaction with an ancillary ion deteriorates the performance of the system as a heat engine. We further show that a strong interaction between the constituent ions of an ion-based system is crucial for it to work in a heat-work cycle, while the coupling to the ancillary system must be minimized.
We study a minimal quantum Otto heat engine, where the working medium consists of an interacting few-body system in a harmonic trap. This allows us to consider the interaction strength as an additional tunable parameter during the work strokes. We calculate the figures of merit of this engine as a function of the temperature and show clearly in which parameter regimes the interactions assist in engine performance. We also study the finite-time dynamics and the subsequent tradeoff between the efficiency and the power, comparing the interaction-enhanced cycle with the case where the system remains scale-invariant.
We compare quantum Otto engines based on two different cycle models: a two-bath model, with a standard heat source and sink, and a measurement-based protocol, where the role of heat source is played by a quantum measurement. We furthermore study these cycles using two different "working substances": a single qutrit (spin-1 particle) or a pair of qubits (spin-1/2 particles) interacting via the XXZ Heisenberg interaction. Although both cycle models have the same efficiency when applied on a single-qubit working substance, we find that both can reach higher efficiencies using these more complex working substances by exploiting the existence of "idle" levels, i.e., levels that do not shift while the spins are subjected to a variable magnetic field. Furthermore, with an appropriate choice of measurement, the measurement-based protocol becomes more efficient than the two-bath model.
A novel quantum Otto heat engine that operates within a finite-time framework by incorporating measurement procedures is proposed. Departing from conventional quantum Otto heat engines, our model replaces the heat absorption process from a high-temperature source with invasive measurement. Moreover, we consider finite-time thermodynamic manipulation in each step. Our model focuses on exploring the effects of the angles of the measurement basis on the Bloch sphere and the timings of time-dependent evolutions on thermodynamic properties, with a specific emphasis on the trade-off between the power output and the efficiency. Our findings demonstrate that by carefully selecting specific parameters, the efficiency and overall performance of this heat engine can be significantly enhanced.
We have studied the performance of a measurement-based quantum Otto engine (QOE) in a working system of two spins coupled by Heisenberg anisotropic interaction. A nonselective quantum measurement fuels the engine. We have calculated thermodynamic quantities of the cycle in terms of the transition probabilities between the instantaneous energy eigenstates, and also between the instantaneous energy eigenstates and the basis states of the measurement, when the unitary stages of the cycle operate for a finite time τ. The efficiency attains a large value in the limit of τ→0 and then gradually reaches the adiabatic value in a long-time limit τ→∞. For finite values of τ and for anisotropic interaction, an oscillatory behavior of the efficiency of the engine is observed. This oscillation can be interpreted in terms of interference between the relevant transition amplitudes in the unitary stages of the engine cycle. Therefore, for a suitable choice of timing of the unitary processes in the short time regime, the engine can have a higher work output and less heat absorption, such that it works more efficiently than a quasistatic engine. In the case of an always-on heat bath, in a very short time, the bath has a negligible effect on its performance.