Non-equilibrium thermodynamics of quantum processes assisted by transitionless quantum driving: the role of initial state preparation

• URL: http://arxiv.org/abs/2002.06134v1
• Date: Fri, 14 Feb 2020 17:35:31 GMT
• Title: Non-equilibrium thermodynamics of quantum processes assisted by transitionless quantum driving: the role of initial state preparation
• Authors: Qiongyuan Wu, Giovanni Barontini and Mauro Paternostro
• Abstract summary: We study the effects of transitionless quantum driving (TQD) on a single-qubit system subjected to a changing magnetic field. We identify the states that extremize performance under the TQD protocol.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Adiabatic evolution is considered to be the ideal situation for most thermodynamic cycles, as it allows for the achievement of maximum efficiency. However, no power output is produced in light of the infinite amount of time required to perform a transformation. Such issue can be overcome through Shortcuts-To-Adiabaticity (STA) protocols, which allows a dynamics to mimic its adiabatic counterpart, but in a finite time. Transitionless quantum driving (TQD) is one form of STA. We develop and study the effects of TQD on a single-qubit system subjected to a changing magnetic field and a general two-qubit Heisenberg model with a time-dependent interaction strength. We establish a quantitative relation between the work produced across the dynamics and the entropy production resulting from the evolution at hand, focusing on the role played by the initial states of the work medium. We identify the states that extremize performance under the TQD protocol. The thermodynamic implications of STA are discussed in the end.

Related papers

• Thermodynamics of the quantum Mpemba effect [0.0]
  We show that an exponential speedup to equilibrium will always occur if the state is transformed to a diagonal state in the energy eigenbasis. When the transformed state has a higher nonequilibrium free energy, we argue using thermodynamic reasoning that this is a textitgenuine quantum Mpemba effect.
  arXiv  Detail & Related papers  (2024-03-25T17:18:23Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Inferring work by quantum superposing forward and time-reversal evolutions [0.0]
  The study of thermodynamic fluctuations allows one to relate the free energy difference between two equilibrium states with the work done on a system. This finding plays a crucial role in the quantum regime, where the definition of work becomes non-trivial. We develop a simple interferometric method allowing a direct estimation of the work distribution and the average dissipative work during a driven thermodynamic process.
  arXiv  Detail & Related papers  (2021-07-05T18:06:41Z)
• Periodically-driven quantum thermal machines from warming up to limit cycle [5.258079114494524]
  Theoretical treatments of periodically-driven quantum thermal machines (PD-QTMs) are largely focused on the limit-cycle stage of operation. We present a general thermodynamic framework that can handle the performance of PD-QTMs both before and during the limit-cycle stage of operation.
  arXiv  Detail & Related papers  (2021-06-20T01:17:52Z)
• Fluctuation-dissipation relations for thermodynamic distillation processes [0.10427337206896375]
  fluctuation-dissipation theorem is a fundamental result in statistical physics. We first characterise optimal thermodynamic distillation processes. We then prove a relation between the amount of free energy dissipated in such processes and the free energy fluctuations of the initial state of the system.
  arXiv  Detail & Related papers  (2021-05-25T08:53:19Z)
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system [4.891858328401626]
  We investigate the dynamic evolution and thermodynamic process of a driven quantum system immersed in a finite-temperature heat bath. A Born-Markovian quantum master equation is formally derived for the time-dependent system with discrete energy levels.
  arXiv  Detail & Related papers  (2021-04-30T18:38:47Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.