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SUMMARY:Path integral approach to work beyond the two-point measurement sc
 heme
DTSTART;VALUE=DATE-TIME:20260417T210000Z
DTEND;VALUE=DATE-TIME:20260417T212000Z
DTSTAMP;VALUE=DATE-TIME:20260506T083339Z
UID:indico-contribution-360@fisindico.uniandes.edu.co
DESCRIPTION:Speakers: Carlos Viviescas (Universidad Nacional de Colombia)\
 nThe conventional approach to characterize work statistics in driven quant
 um systems is the two-point measurement scheme (TPMS)\, where work is defi
 ned as the difference between two projective energy measurements performed
  at the beginning and end of an evolution protocol. This scheme has been s
 hown to be consistent with classical stochastic thermodynamics [1]\, and t
 o enable the identification of a work functional that converges to its cla
 ssical counterpart in the semiclassical limit [2].\n\n\nDespite its import
 ance\, since the initial projective energy measurement suppresses coherenc
 es in the initial state\, the TPMS is not suited to assess the role of ini
 tial coherence in quantum thermodynamics. In this work we present a path i
 ntegral formulation of two alternative schemes that preserve initial coher
 ences and are consistent with the TPMS for incoherent states described by 
 quasi-probability distributions: i) the Margenau-Hill (MH) scheme [3]\, wh
 ere the explicit introduction of the initial projective measurement is avo
 ided by introducing an estimation of the initial Hamiltonian based on proj
 ective measurements at the end of the protocol only\, and ii) the so-calle
 d full counting statistics scheme [4]\, where the characteristic function 
 is related to the phase accumulated by a detector coupled to the system. \
 n\n\n[1] Lostaglio\, M. (2018). Quantum fluctuation theorems\, contextuali
 ty\, and work quasiprobabilities. Physical review letters\, 120(4)\, 04060
 2.\n\n[2] Funo\, K.\, & Quan\, H. T. (2018). Path integral approach to qua
 ntum thermodynamics. Physical review letters\, 121(4)\, 040602. \n[3] Pei\
 , J. H.\, Chen\, J. F.\, & Quan\, H. T. (2023). Exploring quasiprobability
  approaches to quantum work in the presence of initial coherence: Advantag
 es of the Margenau-Hill distribution. Physical Review E\, 108(5)\, 054109.
 \n\n[4] Solinas\, P.\, & Gasparinetti\, S. (2016). Probing quantum interfe
 rence effects in the work distribution. Physical Review A\, 94(5)\, 052103
 .\n\nhttps://fisindico.uniandes.edu.co/event/23/contributions/360/
LOCATION:
URL:https://fisindico.uniandes.edu.co/event/23/contributions/360/
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