Internal Geometric Friction in a Kitaev Chain Heat Engine

Abstract

We investigate a heat engine with a finite-length Kitaev chain in an ideal Otto cycle. It is found that the critical point of the topological phase transition coincides with the maxima of the efficiency and work output of the total Otto engine. Finite-size effects are taken into account using the method of Hill's nanothermodynamics, as well as using the method of temperature-dependent energy levels. We identify the bulk and boundary thermal cycles of the Kitaev chain engine and find that they are non-ideal Otto cycles. The physics of deviation from ideal Otto cycle is identified as a finite size effect, which we dub as "internal geometric friction", leading to heat transfer from the bulk to the boundary during adiabatic transformation of the whole system. Besides, we determine the regimes allowing for independently running an ideal Otto refrigerator at the boundary and an ideal Otto engines in the bulk and in the whole system. Furthermore, we show that the first-order phase transition in the boundary and the second-order phase transition in the bulk can be identified through their respective contributions to the engine work output.

arXiv comment17 pages. Accepted in PRB. New Title. Methods section and the text improved. 2 new figures and new references added

References in corpus (43)

• Fault-tolerant quantum computation by anyons
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Quantum Thermodynamic Cycles and quantum heat engines
• Evidence for Majorana bound state in an iron-based superconductor
• Quantized Majorana conductance
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• First and Second Law of Thermodynamics at strong coupling
• Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
• Efficiency of a quantum Otto heat engine operating under a reservoir at effective negative temperatures
• A Discrete Four Stroke Quantum Heat Engine Exploring the Origin of Friction
• Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Efficiency at maximum power of interacting molecular machines
• The Big World of Nanothermodynamics
• Work and Quantum Phase Transitions: Is there Quantum Latency?
• Open system trajectories specify fluctuating work but not heat
• Geometric friction directs cell migration
• Unified theory of electron-phonon renormalization and phonon-assisted optical absorption
• Steady state entanglement beyond thermal limits
• Universalities of thermodynamic signatures in topological phases
• Topological Heat Transport and Symmetry-Protected Boson Currents
• Sensing Floquet-Majorana fermions via heat transfer
• Hill's nano-thermodynamics is equivalent with Gibbs' thermodynamics for curved surfaces
• Thermodynamic signatures of edge states in topological insulators
• Quantum shape effects and novel thermodynamic behaviors at nanoscale
• Thermoelectric performance of topological boundary modes
• Topological Phase Transition in Quantum Heat Engine Cycles
• Shannon Meets Carnot: Generalized Second Thermodynamic Law
• Ripplonic Lamb shift for electrons on liquid helium
• Optomechanical oscillator controlled by variation in its heat bath temperature
• Frictional sliding without geometrical reflection symmetry
• Topological Qubits with Majorana Fermions in Trapped Ions
• Heat capacities of thermally manipulated mechanical oscillator at strong coupling
• Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
• Topologically protected heat pumping from braiding Majorana zero modes
• Notes on heat engines and negative temperatures
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• On the geometric phenomenology of static friction
• Realizing universal quantum gates with topological bases in quantum-simulated superconducting chains

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• Ancilla measurement-based Quantum Otto engine using double-pair spin architecture