The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter

Abstract

We propose a route towards engineering non-thermal states of matter, which show largely unexplored physics. The main idea relies on the adiabatic passage of a thermal ensemble under slow variations of the system Hamiltonian. If the temperature of the initial thermal ensemble is either zero or infinite the ensemble after the passage is a simple thermal one with the same vanishing or infinite temperature. However, for any finite non-zero temperature intriguing non-thermal ensembles can be achieved. We exemplify this in: (a) a single oscillator (b) a dimerized interacting one dimensional chain of spinless fermions, (c) a BCS-type superconductor and (d) the topological Kitaev chain. We solve these models with a combination of methods; either exactly, numerically using the density matrix renormalization group (DMRG) or within an approximate functional renormalization group (FRG) scheme. The designed states show strongly non-thermal behavior in each of the considered models. For example, for the chain of spinless fermions we exemplify how long ranged non-thermal power-law correlations can be stabilized and for the Kitaev chain we elucidate how the non-thermal ensemble can largely alter the transition temperature separating topological and trivial phases.

11 pages, 9 figures, version as published

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Generalized Gibbs ensemble in integrable lattice models
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Transient superconductivity from electronic squeezing of optically pumped phonons
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Functional renormalization group for Luttinger liquids with impurities
• Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
• Generalized Gibbs ensemble and work statistics of a quenched Luttinger liquid
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
• Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
• Out of equilibrium density dynamics of a quenched fermionic system
• Time evolution during and after finite-time quantum quenches in Luttinger liquids

Cited by in corpus (6)

• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions
• Floquet-engineered light-cone spreading of correlations in a driven quantum chain
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Efficient heat-energy conversion from a non-thermal Tomonaga-Luttinger liquid
• Exploring excited eigenstates of many-body systems using the functional renormalization group