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Universal dynamics of the entropy of work distribution in spinor Bose-Einstein condensates
Quantum Gases · Submitted 11 Jan 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results verify the usefulness of the entropy of the work distribution for understanding the critical dynamics and provide an alternative way to experimentally study nonequilibrium properties in quantum many-body systems.
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The abstract, sentence by sentence
Driving a quantum many-body system across the quantum phase transition (QPT) in the finite time has been concerned in different branches of physics to explore various fundamental questions. Here, we analyze how the underlying QPT affects the work distribution $P(W)$, when the control parameter of a ferromagnetic spinor Bose-Einstein condensates is tuned through the critical point in the finite time. We show that the work distribution undergoes a dramatic change with increasing the driving time $\tau$. To capture the characteristics of the work distribution, we analyze the entropy of $P(W)$ and find three different regions in the evolution of entropy as a function of $\tau$. Specifically, the entropy is insensitive to the driving time in the region of very short $\tau$, while it exhibits a universal power-law decay in the region with intermediate value of $\tau$. In particular, the power-law scaling of the entropy is according with the well-known Kibble-Zurek mechanism. For the region with large $\tau$, the validity of the adiabatic perturbation theory leads to the entropy decay as $\tau^{-2}\ln\tau$. Our results verify the usefulness of the entropy of the work distribution for understanding the critical dynamics and provide an alternative way to experimentally study nonequilibrium properties in quantum many-body systems.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Driving a quantum many-body system across the quantum phase transition (QPT) in the finite time has been concerned in different branches of physics to explore various fundamental questions. | background 1.00 | 0.05 | 0.02 | asserted 0.99 |
| s1 | Here, we analyze how the underlying QPT affects the work distribution $P(W)$, when the control parameter of a ferromagnetic spinor Bose-Einstein condensates is tuned through the critical point in the finite time. | contribution 1.00 | 0.89 | 0.05 | asserted 0.68 |
| s2 | We show that the work distribution undergoes a dramatic change with increasing the driving time $\tau$. | result 1.00 | 0.88 | 0.18 | asserted 1.00 |
| s3 | To capture the characteristics of the work distribution, we analyze the entropy of $P(W)$ and find three different regions in the evolution of entropy as a function of $\tau$. | result 0.48 | 0.96 | 0.17 | asserted 1.00 |
| s4 | Specifically, the entropy is insensitive to the driving time in the region of very short $\tau$, while it exhibits a universal power-law decay in the region with intermediate value of $\tau$. | result 1.00 | 0.94 | 0.19 | asserted 1.00 |
| s5 | In particular, the power-law scaling of the entropy is according with the well-known Kibble-Zurek mechanism. | interpretation 0.92 | 0.47 | 0.14 | asserted 0.88 |
| s6 | For the region with large $\tau$, the validity of the adiabatic perturbation theory leads to the entropy decay as $\tau^{-2}\ln\tau$. | result 0.99 | 0.84 | 0.09 | asserted 1.00 |
| s7 | Our results verify the usefulness of the entropy of the work distribution for understanding the critical dynamics and provide an alternative way to experimentally study nonequilibrium properties in quantum many-body systems. | interpretation 0.99 | 0.83 | 0.75 | asserted 1.00 |
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Original abstract
Driving a quantum many-body system across the quantum phase transition (QPT) in the finite time has been concerned in different branches of physics to explore various fundamental questions. Here, we analyze how the underlying QPT affects the work distribution $P(W)$, when the control parameter of a ferromagnetic spinor Bose-Einstein condensates is tuned through the critical point in the finite time. We show that the work distribution undergoes a dramatic change with increasing the driving time $\tau$. To capture the characteristics of the work distribution, we analyze the entropy of $P(W)$ and find three different regions in the evolution of entropy as a function of $\tau$. Specifically, the entropy is insensitive to the driving time in the region of very short $\tau$, while it exhibits a universal power-law decay in the region with intermediate value of $\tau$. In particular, the power-law scaling of the entropy is according with the well-known Kibble-Zurek mechanism. For the region with large $\tau$, the validity of the adiabatic perturbation theory leads to the entropy decay as $\tau^{-2}\ln\tau$. Our results verify the usefulness of the entropy of the work distribution for understanding the critical dynamics and provide an alternative way to experimentally study nonequilibrium properties in quantum many-body systems.
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1 arXiv paper cite this in 1 sentence
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Cites as background 1 paper
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As a highly controllable platform, the spinor BEC [ref] have been employed as a prototypical model, both in experiments and theoreties, for studying various quantum many-body phenomena, such as different phase transitions [ref] , nonequilibrium dynamics [ref] , and quantum chaos [ref] , among others.
Quantum scars and regular eigenstates in a chaotic spinor condensate · Spin-$1$ Bose-Einstein condensates · 0.99
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